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Finding the Fourth Proportional to 22,356.82, 30,850.29 and 13,402.66

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Solution

The fourth proportional to 22,356.82, 30,850.29 and 13,402.66 is: 18,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.82 : 30,850.29 = 13,402.66 : x
  2. Step 2: Convert to fraction form
    22,356.82/30,850.29 = 13,402.66/x
  3. Step 3: Cross multiply
    22,356.82x = 30,850.29 × 13,402.66
  4. Step 4: Simplify right side
    22,356.82x = 413,475,947.77
  5. Step 5: Solve for x
    x = 413,475,947.77/22,356.82
  6. Step 6: Final answer
    x = 18,494.40

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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.