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Finding the Fourth Proportional to 9,278.24, 12,816.24 and 6,916.28

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Solution

The fourth proportional to 9,278.24, 12,816.24 and 6,916.28 is: 9,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.24 : 12,816.24 = 6,916.28 : x
  2. Step 2: Convert to fraction form
    9,278.24/12,816.24 = 6,916.28/x
  3. Step 3: Cross multiply
    9,278.24x = 12,816.24 × 6,916.28
  4. Step 4: Simplify right side
    9,278.24x = 88,640,704.39
  5. Step 5: Solve for x
    x = 88,640,704.39/9,278.24
  6. Step 6: Final answer
    x = 9,553.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.