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Finding the Fourth Proportional to 3,737.67, 5,607.12 and 1,140

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Solution

The fourth proportional to 3,737.67, 5,607.12 and 1,140 is: 1,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.67 : 5,607.12 = 1,140 : x
  2. Step 2: Convert to fraction form
    3,737.67/5,607.12 = 1,140/x
  3. Step 3: Cross multiply
    3,737.67x = 5,607.12 × 1,140
  4. Step 4: Simplify right side
    3,737.67x = 6,392,116.80
  5. Step 5: Solve for x
    x = 6,392,116.80/3,737.67
  6. Step 6: Final answer
    x = 1,710.19

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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.