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Finding the Fourth Proportional to 13,424.75, 18,511.71 and 8,387.13

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Solution

The fourth proportional to 13,424.75, 18,511.71 and 8,387.13 is: 11,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.75 : 18,511.71 = 8,387.13 : x
  2. Step 2: Convert to fraction form
    13,424.75/18,511.71 = 8,387.13/x
  3. Step 3: Cross multiply
    13,424.75x = 18,511.71 × 8,387.13
  4. Step 4: Simplify right side
    13,424.75x = 155,260,200.99
  5. Step 5: Solve for x
    x = 155,260,200.99/13,424.75
  6. Step 6: Final answer
    x = 11,565.22

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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.