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Finding the Fourth Proportional to 22,774.10, 31,431.02 and 13,342.68

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Solution

The fourth proportional to 22,774.10, 31,431.02 and 13,342.68 is: 18,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.10 : 31,431.02 = 13,342.68 : x
  2. Step 2: Convert to fraction form
    22,774.10/31,431.02 = 13,342.68/x
  3. Step 3: Cross multiply
    22,774.10x = 31,431.02 × 13,342.68
  4. Step 4: Simplify right side
    22,774.10x = 419,374,041.93
  5. Step 5: Solve for x
    x = 419,374,041.93/22,774.10
  6. Step 6: Final answer
    x = 18,414.52

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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.