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Finding the Fourth Proportional to 21,234.83, 31,822.03 and 15,644.21

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Solution

The fourth proportional to 21,234.83, 31,822.03 and 15,644.21 is: 23,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.83 : 31,822.03 = 15,644.21 : x
  2. Step 2: Convert to fraction form
    21,234.83/31,822.03 = 15,644.21/x
  3. Step 3: Cross multiply
    21,234.83x = 31,822.03 × 15,644.21
  4. Step 4: Simplify right side
    21,234.83x = 497,830,519.95
  5. Step 5: Solve for x
    x = 497,830,519.95/21,234.83
  6. Step 6: Final answer
    x = 23,444.05

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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.