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Finding the Fourth Proportional to 7,658.74, 11,488.38 and 3,271.78

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Solution

The fourth proportional to 7,658.74, 11,488.38 and 3,271.78 is: 4,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.74 : 11,488.38 = 3,271.78 : x
  2. Step 2: Convert to fraction form
    7,658.74/11,488.38 = 3,271.78/x
  3. Step 3: Cross multiply
    7,658.74x = 11,488.38 × 3,271.78
  4. Step 4: Simplify right side
    7,658.74x = 37,587,451.92
  5. Step 5: Solve for x
    x = 37,587,451.92/7,658.74
  6. Step 6: Final answer
    x = 4,907.79

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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.