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Finding the Fourth Proportional to 8,523.78, 12,785.70 and 2,367.78

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Solution

The fourth proportional to 8,523.78, 12,785.70 and 2,367.78 is: 3,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.78 : 12,785.70 = 2,367.78 : x
  2. Step 2: Convert to fraction form
    8,523.78/12,785.70 = 2,367.78/x
  3. Step 3: Cross multiply
    8,523.78x = 12,785.70 × 2,367.78
  4. Step 4: Simplify right side
    8,523.78x = 30,273,724.75
  5. Step 5: Solve for x
    x = 30,273,724.75/8,523.78
  6. Step 6: Final answer
    x = 3,551.68

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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.