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Finding the Fourth Proportional to 22,402.68, 30,916.56 and 13,454.19

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Solution

The fourth proportional to 22,402.68, 30,916.56 and 13,454.19 is: 18,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.68 : 30,916.56 = 13,454.19 : x
  2. Step 2: Convert to fraction form
    22,402.68/30,916.56 = 13,454.19/x
  3. Step 3: Cross multiply
    22,402.68x = 30,916.56 × 13,454.19
  4. Step 4: Simplify right side
    22,402.68x = 415,957,272.39
  5. Step 5: Solve for x
    x = 415,957,272.39/22,402.68
  6. Step 6: Final answer
    x = 18,567.30

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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.