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Finding the Fourth Proportional to 9,102.33, 13,643.42 and 8,364.20

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Solution

The fourth proportional to 9,102.33, 13,643.42 and 8,364.20 is: 12,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.33 : 13,643.42 = 8,364.20 : x
  2. Step 2: Convert to fraction form
    9,102.33/13,643.42 = 8,364.20/x
  3. Step 3: Cross multiply
    9,102.33x = 13,643.42 × 8,364.20
  4. Step 4: Simplify right side
    9,102.33x = 114,116,183.53
  5. Step 5: Solve for x
    x = 114,116,183.53/9,102.33
  6. Step 6: Final answer
    x = 12,537.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.