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Finding the Fourth Proportional to 10,877.82, 15,011.10 and 6,163.62

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Solution

The fourth proportional to 10,877.82, 15,011.10 and 6,163.62 is: 8,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.82 : 15,011.10 = 6,163.62 : x
  2. Step 2: Convert to fraction form
    10,877.82/15,011.10 = 6,163.62/x
  3. Step 3: Cross multiply
    10,877.82x = 15,011.10 × 6,163.62
  4. Step 4: Simplify right side
    10,877.82x = 92,522,716.18
  5. Step 5: Solve for x
    x = 92,522,716.18/10,877.82
  6. Step 6: Final answer
    x = 8,505.63

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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.