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Finding the Fourth Proportional to 4,753.71, 7,129.92 and 1,243.95

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Solution

The fourth proportional to 4,753.71, 7,129.92 and 1,243.95 is: 1,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.71 : 7,129.92 = 1,243.95 : x
  2. Step 2: Convert to fraction form
    4,753.71/7,129.92 = 1,243.95/x
  3. Step 3: Cross multiply
    4,753.71x = 7,129.92 × 1,243.95
  4. Step 4: Simplify right side
    4,753.71x = 8,869,263.98
  5. Step 5: Solve for x
    x = 8,869,263.98/4,753.71
  6. Step 6: Final answer
    x = 1,865.76

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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.