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Finding the Fourth Proportional to 24,478.70, 33,781.28 and 13,868.33

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Solution

The fourth proportional to 24,478.70, 33,781.28 and 13,868.33 is: 19,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.70 : 33,781.28 = 13,868.33 : x
  2. Step 2: Convert to fraction form
    24,478.70/33,781.28 = 13,868.33/x
  3. Step 3: Cross multiply
    24,478.70x = 33,781.28 × 13,868.33
  4. Step 4: Simplify right side
    24,478.70x = 468,489,938.86
  5. Step 5: Solve for x
    x = 468,489,938.86/24,478.70
  6. Step 6: Final answer
    x = 19,138.68

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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.