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Finding the Fourth Proportional to 10,520.31, 15,769.80 and 6,824.90

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Solution

The fourth proportional to 10,520.31, 15,769.80 and 6,824.90 is: 10,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.31 : 15,769.80 = 6,824.90 : x
  2. Step 2: Convert to fraction form
    10,520.31/15,769.80 = 6,824.90/x
  3. Step 3: Cross multiply
    10,520.31x = 15,769.80 × 6,824.90
  4. Step 4: Simplify right side
    10,520.31x = 107,627,229.17
  5. Step 5: Solve for x
    x = 107,627,229.17/10,520.31
  6. Step 6: Final answer
    x = 10,230.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.