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Finding the Fourth Proportional to 27,311.76, 40,976.15 and 9,781.74

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Solution

The fourth proportional to 27,311.76, 40,976.15 and 9,781.74 is: 14,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.76 : 40,976.15 = 9,781.74 : x
  2. Step 2: Convert to fraction form
    27,311.76/40,976.15 = 9,781.74/x
  3. Step 3: Cross multiply
    27,311.76x = 40,976.15 × 9,781.74
  4. Step 4: Simplify right side
    27,311.76x = 400,817,996.59
  5. Step 5: Solve for x
    x = 400,817,996.59/27,311.76
  6. Step 6: Final answer
    x = 14,675.66

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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.