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Finding the Fourth Proportional to 9,144.80, 12,640.56 and 8,419.04

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Solution

The fourth proportional to 9,144.80, 12,640.56 and 8,419.04 is: 11,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.80 : 12,640.56 = 8,419.04 : x
  2. Step 2: Convert to fraction form
    9,144.80/12,640.56 = 8,419.04/x
  3. Step 3: Cross multiply
    9,144.80x = 12,640.56 × 8,419.04
  4. Step 4: Simplify right side
    9,144.80x = 106,421,380.26
  5. Step 5: Solve for x
    x = 106,421,380.26/9,144.80
  6. Step 6: Final answer
    x = 11,637.37

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Half scale
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Double scale
Find fourth proportional to 9,145.80, 12,641.94 and 8,420.04
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.