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Finding the Fourth Proportional to 8,491.35, 12,724.74 and 4,785.78

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Solution

The fourth proportional to 8,491.35, 12,724.74 and 4,785.78 is: 7,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.35 : 12,724.74 = 4,785.78 : x
  2. Step 2: Convert to fraction form
    8,491.35/12,724.74 = 4,785.78/x
  3. Step 3: Cross multiply
    8,491.35x = 12,724.74 × 4,785.78
  4. Step 4: Simplify right side
    8,491.35x = 60,897,806.20
  5. Step 5: Solve for x
    x = 60,897,806.20/8,491.35
  6. Step 6: Final answer
    x = 7,171.75

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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.