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Finding the Fourth Proportional to 8,246.16, 12,369.25 and 5,478.24

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Solution

The fourth proportional to 8,246.16, 12,369.25 and 5,478.24 is: 8,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.16 : 12,369.25 = 5,478.24 : x
  2. Step 2: Convert to fraction form
    8,246.16/12,369.25 = 5,478.24/x
  3. Step 3: Cross multiply
    8,246.16x = 12,369.25 × 5,478.24
  4. Step 4: Simplify right side
    8,246.16x = 67,761,720.12
  5. Step 5: Solve for x
    x = 67,761,720.12/8,246.16
  6. Step 6: Final answer
    x = 8,217.37

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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.