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Finding the Fourth Proportional to 9,969.80, 13,758.14 and 5,493.97

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Solution

The fourth proportional to 9,969.80, 13,758.14 and 5,493.97 is: 7,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.80 : 13,758.14 = 5,493.97 : x
  2. Step 2: Convert to fraction form
    9,969.80/13,758.14 = 5,493.97/x
  3. Step 3: Cross multiply
    9,969.80x = 13,758.14 × 5,493.97
  4. Step 4: Simplify right side
    9,969.80x = 75,586,712.16
  5. Step 5: Solve for x
    x = 75,586,712.16/9,969.80
  6. Step 6: Final answer
    x = 7,581.57

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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.