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Finding the Fourth Proportional to 22,633.53, 31,233.81 and 12,561.90

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Solution

The fourth proportional to 22,633.53, 31,233.81 and 12,561.90 is: 17,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.53 : 31,233.81 = 12,561.90 : x
  2. Step 2: Convert to fraction form
    22,633.53/31,233.81 = 12,561.90/x
  3. Step 3: Cross multiply
    22,633.53x = 31,233.81 × 12,561.90
  4. Step 4: Simplify right side
    22,633.53x = 392,355,997.84
  5. Step 5: Solve for x
    x = 392,355,997.84/22,633.53
  6. Step 6: Final answer
    x = 17,335.17

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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.