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Finding the Fourth Proportional to 31,681.32, 47,527.11 and 11,961.60

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Solution

The fourth proportional to 31,681.32, 47,527.11 and 11,961.60 is: 17,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.32 : 47,527.11 = 11,961.60 : x
  2. Step 2: Convert to fraction form
    31,681.32/47,527.11 = 11,961.60/x
  3. Step 3: Cross multiply
    31,681.32x = 47,527.11 × 11,961.60
  4. Step 4: Simplify right side
    31,681.32x = 568,500,278.98
  5. Step 5: Solve for x
    x = 568,500,278.98/31,681.32
  6. Step 6: Final answer
    x = 17,944.34

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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.