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Finding the Fourth Proportional to 15,822.34, 23,737.11 and 8,422.90

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Solution

The fourth proportional to 15,822.34, 23,737.11 and 8,422.90 is: 12,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.34 : 23,737.11 = 8,422.90 : x
  2. Step 2: Convert to fraction form
    15,822.34/23,737.11 = 8,422.90/x
  3. Step 3: Cross multiply
    15,822.34x = 23,737.11 × 8,422.90
  4. Step 4: Simplify right side
    15,822.34x = 199,935,303.82
  5. Step 5: Solve for x
    x = 199,935,303.82/15,822.34
  6. Step 6: Final answer
    x = 12,636.27

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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.