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Finding the Fourth Proportional to 27,118, 40,677.72 and 8,650

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Solution

The fourth proportional to 27,118, 40,677.72 and 8,650 is: 12,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118 : 40,677.72 = 8,650 : x
  2. Step 2: Convert to fraction form
    27,118/40,677.72 = 8,650/x
  3. Step 3: Cross multiply
    27,118x = 40,677.72 × 8,650
  4. Step 4: Simplify right side
    27,118x = 351,862,278
  5. Step 5: Solve for x
    x = 351,862,278/27,118
  6. Step 6: Final answer
    x = 12,975.23

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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.