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Finding the Fourth Proportional to 5,113.97, 7,671.13 and 1,415.89

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Solution

The fourth proportional to 5,113.97, 7,671.13 and 1,415.89 is: 2,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.97 : 7,671.13 = 1,415.89 : x
  2. Step 2: Convert to fraction form
    5,113.97/7,671.13 = 1,415.89/x
  3. Step 3: Cross multiply
    5,113.97x = 7,671.13 × 1,415.89
  4. Step 4: Simplify right side
    5,113.97x = 10,861,476.26
  5. Step 5: Solve for x
    x = 10,861,476.26/5,113.97
  6. Step 6: Final answer
    x = 2,123.88

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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.