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Finding the Fourth Proportional to 31,541, 47,311.50 and 17,691.08

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Solution

The fourth proportional to 31,541, 47,311.50 and 17,691.08 is: 26,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541 : 47,311.50 = 17,691.08 : x
  2. Step 2: Convert to fraction form
    31,541/47,311.50 = 17,691.08/x
  3. Step 3: Cross multiply
    31,541x = 47,311.50 × 17,691.08
  4. Step 4: Simplify right side
    31,541x = 836,991,531.42
  5. Step 5: Solve for x
    x = 836,991,531.42/31,541
  6. Step 6: Final answer
    x = 26,536.62

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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.