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Finding the Fourth Proportional to 31,635.50, 47,458.12 and 10,571.66

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Solution

The fourth proportional to 31,635.50, 47,458.12 and 10,571.66 is: 15,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.50 : 47,458.12 = 10,571.66 : x
  2. Step 2: Convert to fraction form
    31,635.50/47,458.12 = 10,571.66/x
  3. Step 3: Cross multiply
    31,635.50x = 47,458.12 × 10,571.66
  4. Step 4: Simplify right side
    31,635.50x = 501,710,845.16
  5. Step 5: Solve for x
    x = 501,710,845.16/31,635.50
  6. Step 6: Final answer
    x = 15,859.11

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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.