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Finding the Fourth Proportional to 8,142.72, 12,258.24 and 7,296

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Solution

The fourth proportional to 8,142.72, 12,258.24 and 7,296 is: 10,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.72 : 12,258.24 = 7,296 : x
  2. Step 2: Convert to fraction form
    8,142.72/12,258.24 = 7,296/x
  3. Step 3: Cross multiply
    8,142.72x = 12,258.24 × 7,296
  4. Step 4: Simplify right side
    8,142.72x = 89,436,119.04
  5. Step 5: Solve for x
    x = 89,436,119.04/8,142.72
  6. Step 6: Final answer
    x = 10,983.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.