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Finding the Fourth Proportional to 3,737.42, 5,606.75 and 1,139.75

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Solution

The fourth proportional to 3,737.42, 5,606.75 and 1,139.75 is: 1,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.42 : 5,606.75 = 1,139.75 : x
  2. Step 2: Convert to fraction form
    3,737.42/5,606.75 = 1,139.75/x
  3. Step 3: Cross multiply
    3,737.42x = 5,606.75 × 1,139.75
  4. Step 4: Simplify right side
    3,737.42x = 6,390,287.61
  5. Step 5: Solve for x
    x = 6,390,287.61/3,737.42
  6. Step 6: Final answer
    x = 1,709.81

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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.