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Finding the Fourth Proportional to 27,657.86, 41,469.17 and 12,871.31

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Solution

The fourth proportional to 27,657.86, 41,469.17 and 12,871.31 is: 19,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.86 : 41,469.17 = 12,871.31 : x
  2. Step 2: Convert to fraction form
    27,657.86/41,469.17 = 12,871.31/x
  3. Step 3: Cross multiply
    27,657.86x = 41,469.17 × 12,871.31
  4. Step 4: Simplify right side
    27,657.86x = 533,762,270.81
  5. Step 5: Solve for x
    x = 533,762,270.81/27,657.86
  6. Step 6: Final answer
    x = 19,298.76

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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.