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Finding the Fourth Proportional to 13,390.80, 18,473.46 and 9,414.48

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Solution

The fourth proportional to 13,390.80, 18,473.46 and 9,414.48 is: 12,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.80 : 18,473.46 = 9,414.48 : x
  2. Step 2: Convert to fraction form
    13,390.80/18,473.46 = 9,414.48/x
  3. Step 3: Cross multiply
    13,390.80x = 18,473.46 × 9,414.48
  4. Step 4: Simplify right side
    13,390.80x = 173,918,019.70
  5. Step 5: Solve for x
    x = 173,918,019.70/13,390.80
  6. Step 6: Final answer
    x = 12,987.87

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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.