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Finding the Fourth Proportional to 8,439, 12,648.92 and 5,144.84

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Solution

The fourth proportional to 8,439, 12,648.92 and 5,144.84 is: 7,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 12,648.92 = 5,144.84 : x
  2. Step 2: Convert to fraction form
    8,439/12,648.92 = 5,144.84/x
  3. Step 3: Cross multiply
    8,439x = 12,648.92 × 5,144.84
  4. Step 4: Simplify right side
    8,439x = 65,076,669.57
  5. Step 5: Solve for x
    x = 65,076,669.57/8,439
  6. Step 6: Final answer
    x = 7,711.42

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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.