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Finding the Fourth Proportional to 20,438, 30,629.28 and 9,330.92

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Solution

The fourth proportional to 20,438, 30,629.28 and 9,330.92 is: 13,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 30,629.28 = 9,330.92 : x
  2. Step 2: Convert to fraction form
    20,438/30,629.28 = 9,330.92/x
  3. Step 3: Cross multiply
    20,438x = 30,629.28 × 9,330.92
  4. Step 4: Simplify right side
    20,438x = 285,799,361.34
  5. Step 5: Solve for x
    x = 285,799,361.34/20,438
  6. Step 6: Final answer
    x = 13,983.72

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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.