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Finding the Fourth Proportional to 31,736.64, 47,605.56 and 10,672.78

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Solution

The fourth proportional to 31,736.64, 47,605.56 and 10,672.78 is: 16,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736.64 : 47,605.56 = 10,672.78 : x
  2. Step 2: Convert to fraction form
    31,736.64/47,605.56 = 10,672.78/x
  3. Step 3: Cross multiply
    31,736.64x = 47,605.56 × 10,672.78
  4. Step 4: Simplify right side
    31,736.64x = 508,083,668.66
  5. Step 5: Solve for x
    x = 508,083,668.66/31,736.64
  6. Step 6: Final answer
    x = 16,009.37

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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.