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Finding the Fourth Proportional to 9,478.24, 13,073.20 and 8,217.04

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Solution

The fourth proportional to 9,478.24, 13,073.20 and 8,217.04 is: 11,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.24 : 13,073.20 = 8,217.04 : x
  2. Step 2: Convert to fraction form
    9,478.24/13,073.20 = 8,217.04/x
  3. Step 3: Cross multiply
    9,478.24x = 13,073.20 × 8,217.04
  4. Step 4: Simplify right side
    9,478.24x = 107,423,007.33
  5. Step 5: Solve for x
    x = 107,423,007.33/9,478.24
  6. Step 6: Final answer
    x = 11,333.64

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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.