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Finding the Fourth Proportional to 22,774.62, 31,431.71 and 13,343.17

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Solution

The fourth proportional to 22,774.62, 31,431.71 and 13,343.17 is: 18,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.62 : 31,431.71 = 13,343.17 : x
  2. Step 2: Convert to fraction form
    22,774.62/31,431.71 = 13,343.17/x
  3. Step 3: Cross multiply
    22,774.62x = 31,431.71 × 13,343.17
  4. Step 4: Simplify right side
    22,774.62x = 419,398,649.92
  5. Step 5: Solve for x
    x = 419,398,649.92/22,774.62
  6. Step 6: Final answer
    x = 18,415.18

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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.