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Finding the Fourth Proportional to 12,382.86, 18,552.68 and 10,316.14

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Solution

The fourth proportional to 12,382.86, 18,552.68 and 10,316.14 is: 15,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.86 : 18,552.68 = 10,316.14 : x
  2. Step 2: Convert to fraction form
    12,382.86/18,552.68 = 10,316.14/x
  3. Step 3: Cross multiply
    12,382.86x = 18,552.68 × 10,316.14
  4. Step 4: Simplify right side
    12,382.86x = 191,392,044.26
  5. Step 5: Solve for x
    x = 191,392,044.26/12,382.86
  6. Step 6: Final answer
    x = 15,456.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.