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Finding the Fourth Proportional to 5,306.88, 7,961.45 and 1,558.97

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Solution

The fourth proportional to 5,306.88, 7,961.45 and 1,558.97 is: 2,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.88 : 7,961.45 = 1,558.97 : x
  2. Step 2: Convert to fraction form
    5,306.88/7,961.45 = 1,558.97/x
  3. Step 3: Cross multiply
    5,306.88x = 7,961.45 × 1,558.97
  4. Step 4: Simplify right side
    5,306.88x = 12,411,614.10
  5. Step 5: Solve for x
    x = 12,411,614.10/5,306.88
  6. Step 6: Final answer
    x = 2,338.78

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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.