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Finding the Fourth Proportional to 10,332.64, 15,487.64 and 4,478

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Solution

The fourth proportional to 10,332.64, 15,487.64 and 4,478 is: 6,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.64 : 15,487.64 = 4,478 : x
  2. Step 2: Convert to fraction form
    10,332.64/15,487.64 = 4,478/x
  3. Step 3: Cross multiply
    10,332.64x = 15,487.64 × 4,478
  4. Step 4: Simplify right side
    10,332.64x = 69,353,651.92
  5. Step 5: Solve for x
    x = 69,353,651.92/10,332.64
  6. Step 6: Final answer
    x = 6,712.09

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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.