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Finding the Fourth Proportional to 31,876.90, 47,784.16 and 11,871.71

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Solution

The fourth proportional to 31,876.90, 47,784.16 and 11,871.71 is: 17,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.90 : 47,784.16 = 11,871.71 : x
  2. Step 2: Convert to fraction form
    31,876.90/47,784.16 = 11,871.71/x
  3. Step 3: Cross multiply
    31,876.90x = 47,784.16 × 11,871.71
  4. Step 4: Simplify right side
    31,876.90x = 567,279,914.01
  5. Step 5: Solve for x
    x = 567,279,914.01/31,876.90
  6. Step 6: Final answer
    x = 17,795.96

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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.