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Finding the Fourth Proportional to 7,658.62, 11,488.23 and 3,498.86

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Solution

The fourth proportional to 7,658.62, 11,488.23 and 3,498.86 is: 5,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.62 : 11,488.23 = 3,498.86 : x
  2. Step 2: Convert to fraction form
    7,658.62/11,488.23 = 3,498.86/x
  3. Step 3: Cross multiply
    7,658.62x = 11,488.23 × 3,498.86
  4. Step 4: Simplify right side
    7,658.62x = 40,195,737.14
  5. Step 5: Solve for x
    x = 40,195,737.14/7,658.62
  6. Step 6: Final answer
    x = 5,248.43

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1.5x scale

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.