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Finding the Fourth Proportional to 2,658.38, 3,987 and 2,526.64

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Solution

The fourth proportional to 2,658.38, 3,987 and 2,526.64 is: 3,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.38 : 3,987 = 2,526.64 : x
  2. Step 2: Convert to fraction form
    2,658.38/3,987 = 2,526.64/x
  3. Step 3: Cross multiply
    2,658.38x = 3,987 × 2,526.64
  4. Step 4: Simplify right side
    2,658.38x = 10,073,703.71
  5. Step 5: Solve for x
    x = 10,073,703.71/2,658.38
  6. Step 6: Final answer
    x = 3,789.42

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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.