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Finding the Fourth Proportional to 27,115.78, 40,677.72 and 8,397.50

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Solution

The fourth proportional to 27,115.78, 40,677.72 and 8,397.50 is: 12,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.78 : 40,677.72 = 8,397.50 : x
  2. Step 2: Convert to fraction form
    27,115.78/40,677.72 = 8,397.50/x
  3. Step 3: Cross multiply
    27,115.78x = 40,677.72 × 8,397.50
  4. Step 4: Simplify right side
    27,115.78x = 341,591,153.70
  5. Step 5: Solve for x
    x = 341,591,153.70/27,115.78
  6. Step 6: Final answer
    x = 12,597.50

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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.