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Finding the Fourth Proportional to 8,896.62, 12,269.38 and 7,381.78

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Solution

The fourth proportional to 8,896.62, 12,269.38 and 7,381.78 is: 10,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.62 : 12,269.38 = 7,381.78 : x
  2. Step 2: Convert to fraction form
    8,896.62/12,269.38 = 7,381.78/x
  3. Step 3: Cross multiply
    8,896.62x = 12,269.38 × 7,381.78
  4. Step 4: Simplify right side
    8,896.62x = 90,569,865.46
  5. Step 5: Solve for x
    x = 90,569,865.46/8,896.62
  6. Step 6: Final answer
    x = 10,180.26

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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.