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Finding the Fourth Proportional to 3,817.68, 5,752.52 and 3,139.53

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Solution

The fourth proportional to 3,817.68, 5,752.52 and 3,139.53 is: 4,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.68 : 5,752.52 = 3,139.53 : x
  2. Step 2: Convert to fraction form
    3,817.68/5,752.52 = 3,139.53/x
  3. Step 3: Cross multiply
    3,817.68x = 5,752.52 × 3,139.53
  4. Step 4: Simplify right side
    3,817.68x = 18,060,193.42
  5. Step 5: Solve for x
    x = 18,060,193.42/3,817.68
  6. Step 6: Final answer
    x = 4,730.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.