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Finding the Fourth Proportional to 8,439, 12,661.88 and 4,276.76

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Solution

The fourth proportional to 8,439, 12,661.88 and 4,276.76 is: 6,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 12,661.88 = 4,276.76 : x
  2. Step 2: Convert to fraction form
    8,439/12,661.88 = 4,276.76/x
  3. Step 3: Cross multiply
    8,439x = 12,661.88 × 4,276.76
  4. Step 4: Simplify right side
    8,439x = 54,151,821.91
  5. Step 5: Solve for x
    x = 54,151,821.91/8,439
  6. Step 6: Final answer
    x = 6,416.85

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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.