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Finding the Fourth Proportional to 7,242.20, 9,989.07 and 6,646.61

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Solution

The fourth proportional to 7,242.20, 9,989.07 and 6,646.61 is: 9,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.20 : 9,989.07 = 6,646.61 : x
  2. Step 2: Convert to fraction form
    7,242.20/9,989.07 = 6,646.61/x
  3. Step 3: Cross multiply
    7,242.20x = 9,989.07 × 6,646.61
  4. Step 4: Simplify right side
    7,242.20x = 66,393,402.61
  5. Step 5: Solve for x
    x = 66,393,402.61/7,242.20
  6. Step 6: Final answer
    x = 9,167.58

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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.