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Finding the Fourth Proportional to 4,658.92, 6,989.42 and 1,539.90

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Solution

The fourth proportional to 4,658.92, 6,989.42 and 1,539.90 is: 2,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.92 : 6,989.42 = 1,539.90 : x
  2. Step 2: Convert to fraction form
    4,658.92/6,989.42 = 1,539.90/x
  3. Step 3: Cross multiply
    4,658.92x = 6,989.42 × 1,539.90
  4. Step 4: Simplify right side
    4,658.92x = 10,763,007.86
  5. Step 5: Solve for x
    x = 10,763,007.86/4,658.92
  6. Step 6: Final answer
    x = 2,310.19

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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.