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Finding the Fourth Proportional to 15,438, 21,304.56 and 9,155.76

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Solution

The fourth proportional to 15,438, 21,304.56 and 9,155.76 is: 12,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 21,304.56 = 9,155.76 : x
  2. Step 2: Convert to fraction form
    15,438/21,304.56 = 9,155.76/x
  3. Step 3: Cross multiply
    15,438x = 21,304.56 × 9,155.76
  4. Step 4: Simplify right side
    15,438x = 195,059,438.27
  5. Step 5: Solve for x
    x = 195,059,438.27/15,438
  6. Step 6: Final answer
    x = 12,635.02

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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.