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Finding the Fourth Proportional to 5,139.97, 7,713.02 and 4,721.70

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Solution

The fourth proportional to 5,139.97, 7,713.02 and 4,721.70 is: 7,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.97 : 7,713.02 = 4,721.70 : x
  2. Step 2: Convert to fraction form
    5,139.97/7,713.02 = 4,721.70/x
  3. Step 3: Cross multiply
    5,139.97x = 7,713.02 × 4,721.70
  4. Step 4: Simplify right side
    5,139.97x = 36,418,599.44
  5. Step 5: Solve for x
    x = 36,418,599.44/5,139.97
  6. Step 6: Final answer
    x = 7,085.38

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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.