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Finding the Fourth Proportional to 24,390.71, 33,659.11 and 13,780.34

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Solution

The fourth proportional to 24,390.71, 33,659.11 and 13,780.34 is: 19,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390.71 : 33,659.11 = 13,780.34 : x
  2. Step 2: Convert to fraction form
    24,390.71/33,659.11 = 13,780.34/x
  3. Step 3: Cross multiply
    24,390.71x = 33,659.11 × 13,780.34
  4. Step 4: Simplify right side
    24,390.71x = 463,833,979.90
  5. Step 5: Solve for x
    x = 463,833,979.90/24,390.71
  6. Step 6: Final answer
    x = 19,016.83

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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.