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Finding the Fourth Proportional to 9,969.85, 13,757.95 and 5,493.56

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Solution

The fourth proportional to 9,969.85, 13,757.95 and 5,493.56 is: 7,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.85 : 13,757.95 = 5,493.56 : x
  2. Step 2: Convert to fraction form
    9,969.85/13,757.95 = 5,493.56/x
  3. Step 3: Cross multiply
    9,969.85x = 13,757.95 × 5,493.56
  4. Step 4: Simplify right side
    9,969.85x = 75,580,123.80
  5. Step 5: Solve for x
    x = 75,580,123.80/9,969.85
  6. Step 6: Final answer
    x = 7,580.87

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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.