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Finding the Fourth Proportional to 10,062.80, 13,855.56 and 8,363.60

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Solution

The fourth proportional to 10,062.80, 13,855.56 and 8,363.60 is: 11,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.80 : 13,855.56 = 8,363.60 : x
  2. Step 2: Convert to fraction form
    10,062.80/13,855.56 = 8,363.60/x
  3. Step 3: Cross multiply
    10,062.80x = 13,855.56 × 8,363.60
  4. Step 4: Simplify right side
    10,062.80x = 115,882,361.62
  5. Step 5: Solve for x
    x = 115,882,361.62/10,062.80
  6. Step 6: Final answer
    x = 11,515.92

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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.