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Finding the Fourth Proportional to 8,225.38, 12,339.51 and 2,678.14

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Solution

The fourth proportional to 8,225.38, 12,339.51 and 2,678.14 is: 4,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.38 : 12,339.51 = 2,678.14 : x
  2. Step 2: Convert to fraction form
    8,225.38/12,339.51 = 2,678.14/x
  3. Step 3: Cross multiply
    8,225.38x = 12,339.51 × 2,678.14
  4. Step 4: Simplify right side
    8,225.38x = 33,046,935.31
  5. Step 5: Solve for x
    x = 33,046,935.31/8,225.38
  6. Step 6: Final answer
    x = 4,017.68

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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.