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Finding the Fourth Proportional to 27,691.61, 41,543.96 and 8,971.61

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Solution

The fourth proportional to 27,691.61, 41,543.96 and 8,971.61 is: 13,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.61 : 41,543.96 = 8,971.61 : x
  2. Step 2: Convert to fraction form
    27,691.61/41,543.96 = 8,971.61/x
  3. Step 3: Cross multiply
    27,691.61x = 41,543.96 × 8,971.61
  4. Step 4: Simplify right side
    27,691.61x = 372,716,188.08
  5. Step 5: Solve for x
    x = 372,716,188.08/27,691.61
  6. Step 6: Final answer
    x = 13,459.54

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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.