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Finding the Fourth Proportional to 22,633.40, 31,234.11 and 12,561.85

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Solution

The fourth proportional to 22,633.40, 31,234.11 and 12,561.85 is: 17,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.40 : 31,234.11 = 12,561.85 : x
  2. Step 2: Convert to fraction form
    22,633.40/31,234.11 = 12,561.85/x
  3. Step 3: Cross multiply
    22,633.40x = 31,234.11 × 12,561.85
  4. Step 4: Simplify right side
    22,633.40x = 392,357,985.72
  5. Step 5: Solve for x
    x = 392,357,985.72/22,633.40
  6. Step 6: Final answer
    x = 17,335.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.