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Finding the Fourth Proportional to 7,124.30, 10,691.85 and 4,658.30

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Solution

The fourth proportional to 7,124.30, 10,691.85 and 4,658.30 is: 6,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.30 : 10,691.85 = 4,658.30 : x
  2. Step 2: Convert to fraction form
    7,124.30/10,691.85 = 4,658.30/x
  3. Step 3: Cross multiply
    7,124.30x = 10,691.85 × 4,658.30
  4. Step 4: Simplify right side
    7,124.30x = 49,805,844.86
  5. Step 5: Solve for x
    x = 49,805,844.86/7,124.30
  6. Step 6: Final answer
    x = 6,990.98

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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.