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Finding the Fourth Proportional to 6,109.80, 9,164.70 and 1,492.80

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Solution

The fourth proportional to 6,109.80, 9,164.70 and 1,492.80 is: 2,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.80 : 9,164.70 = 1,492.80 : x
  2. Step 2: Convert to fraction form
    6,109.80/9,164.70 = 1,492.80/x
  3. Step 3: Cross multiply
    6,109.80x = 9,164.70 × 1,492.80
  4. Step 4: Simplify right side
    6,109.80x = 13,681,064.16
  5. Step 5: Solve for x
    x = 13,681,064.16/6,109.80
  6. Step 6: Final answer
    x = 2,239.20

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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.