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Finding the Fourth Proportional to 1,737.16, 2,397.28 and 991.12

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Solution

The fourth proportional to 1,737.16, 2,397.28 and 991.12 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.16 : 2,397.28 = 991.12 : x
  2. Step 2: Convert to fraction form
    1,737.16/2,397.28 = 991.12/x
  3. Step 3: Cross multiply
    1,737.16x = 2,397.28 × 991.12
  4. Step 4: Simplify right side
    1,737.16x = 2,375,992.15
  5. Step 5: Solve for x
    x = 2,375,992.15/1,737.16
  6. Step 6: Final answer
    x = 1,367.75

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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.