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Finding the Fourth Proportional to 21,102.76, 31,644.90 and 10,012.61

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Solution

The fourth proportional to 21,102.76, 31,644.90 and 10,012.61 is: 15,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.76 : 31,644.90 = 10,012.61 : x
  2. Step 2: Convert to fraction form
    21,102.76/31,644.90 = 10,012.61/x
  3. Step 3: Cross multiply
    21,102.76x = 31,644.90 × 10,012.61
  4. Step 4: Simplify right side
    21,102.76x = 316,847,943.30
  5. Step 5: Solve for x
    x = 316,847,943.30/21,102.76
  6. Step 6: Final answer
    x = 15,014.53

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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.