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Finding the Fourth Proportional to 10,287.52, 15,431.28 and 7,223.20

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Solution

The fourth proportional to 10,287.52, 15,431.28 and 7,223.20 is: 10,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.52 : 15,431.28 = 7,223.20 : x
  2. Step 2: Convert to fraction form
    10,287.52/15,431.28 = 7,223.20/x
  3. Step 3: Cross multiply
    10,287.52x = 15,431.28 × 7,223.20
  4. Step 4: Simplify right side
    10,287.52x = 111,463,221.70
  5. Step 5: Solve for x
    x = 111,463,221.70/10,287.52
  6. Step 6: Final answer
    x = 10,834.80

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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.