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Finding the Fourth Proportional to 1,737.54, 2,397.88 and 991.46

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Solution

The fourth proportional to 1,737.54, 2,397.88 and 991.46 is: 1,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.54 : 2,397.88 = 991.46 : x
  2. Step 2: Convert to fraction form
    1,737.54/2,397.88 = 991.46/x
  3. Step 3: Cross multiply
    1,737.54x = 2,397.88 × 991.46
  4. Step 4: Simplify right side
    1,737.54x = 2,377,402.10
  5. Step 5: Solve for x
    x = 2,377,402.10/1,737.54
  6. Step 6: Final answer
    x = 1,368.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.