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Finding the Fourth Proportional to 3,737.66, 5,606.90 and 1,398.80

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Solution

The fourth proportional to 3,737.66, 5,606.90 and 1,398.80 is: 2,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.66 : 5,606.90 = 1,398.80 : x
  2. Step 2: Convert to fraction form
    3,737.66/5,606.90 = 1,398.80/x
  3. Step 3: Cross multiply
    3,737.66x = 5,606.90 × 1,398.80
  4. Step 4: Simplify right side
    3,737.66x = 7,842,931.72
  5. Step 5: Solve for x
    x = 7,842,931.72/3,737.66
  6. Step 6: Final answer
    x = 2,098.35

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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.