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Finding the Fourth Proportional to 15,374, 23,061 and 5,513.88

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Solution

The fourth proportional to 15,374, 23,061 and 5,513.88 is: 8,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374 : 23,061 = 5,513.88 : x
  2. Step 2: Convert to fraction form
    15,374/23,061 = 5,513.88/x
  3. Step 3: Cross multiply
    15,374x = 23,061 × 5,513.88
  4. Step 4: Simplify right side
    15,374x = 127,155,586.68
  5. Step 5: Solve for x
    x = 127,155,586.68/15,374
  6. Step 6: Final answer
    x = 8,270.82

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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.