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Finding the Fourth Proportional to 1,737.82, 2,398.43 and 991.84

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Solution

The fourth proportional to 1,737.82, 2,398.43 and 991.84 is: 1,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.82 : 2,398.43 = 991.84 : x
  2. Step 2: Convert to fraction form
    1,737.82/2,398.43 = 991.84/x
  3. Step 3: Cross multiply
    1,737.82x = 2,398.43 × 991.84
  4. Step 4: Simplify right side
    1,737.82x = 2,378,853.85
  5. Step 5: Solve for x
    x = 2,378,853.85/1,737.82
  6. Step 6: Final answer
    x = 1,368.88

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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.