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Finding the Fourth Proportional to 26,658.72, 39,978.24 and 9,123.84

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Solution

The fourth proportional to 26,658.72, 39,978.24 and 9,123.84 is: 13,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658.72 : 39,978.24 = 9,123.84 : x
  2. Step 2: Convert to fraction form
    26,658.72/39,978.24 = 9,123.84/x
  3. Step 3: Cross multiply
    26,658.72x = 39,978.24 × 9,123.84
  4. Step 4: Simplify right side
    26,658.72x = 364,755,065.24
  5. Step 5: Solve for x
    x = 364,755,065.24/26,658.72
  6. Step 6: Final answer
    x = 13,682.39

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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.