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Finding the Fourth Proportional to 8,439, 12,658.68 and 2,892.32

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Solution

The fourth proportional to 8,439, 12,658.68 and 2,892.32 is: 4,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 12,658.68 = 2,892.32 : x
  2. Step 2: Convert to fraction form
    8,439/12,658.68 = 2,892.32/x
  3. Step 3: Cross multiply
    8,439x = 12,658.68 × 2,892.32
  4. Step 4: Simplify right side
    8,439x = 36,612,953.34
  5. Step 5: Solve for x
    x = 36,612,953.34/8,439
  6. Step 6: Final answer
    x = 4,338.54

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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.