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Finding the Fourth Proportional to 10,322.80, 15,475.20 and 7,025.20

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Solution

The fourth proportional to 10,322.80, 15,475.20 and 7,025.20 is: 10,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.80 : 15,475.20 = 7,025.20 : x
  2. Step 2: Convert to fraction form
    10,322.80/15,475.20 = 7,025.20/x
  3. Step 3: Cross multiply
    10,322.80x = 15,475.20 × 7,025.20
  4. Step 4: Simplify right side
    10,322.80x = 108,716,375.04
  5. Step 5: Solve for x
    x = 108,716,375.04/10,322.80
  6. Step 6: Final answer
    x = 10,531.68

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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.