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Finding the Fourth Proportional to 27,599.27, 41,405.90 and 7,877.90

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Solution

The fourth proportional to 27,599.27, 41,405.90 and 7,877.90 is: 11,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.27 : 41,405.90 = 7,877.90 : x
  2. Step 2: Convert to fraction form
    27,599.27/41,405.90 = 7,877.90/x
  3. Step 3: Cross multiply
    27,599.27x = 41,405.90 × 7,877.90
  4. Step 4: Simplify right side
    27,599.27x = 326,191,539.61
  5. Step 5: Solve for x
    x = 326,191,539.61/27,599.27
  6. Step 6: Final answer
    x = 11,818.85

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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.