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Finding the Fourth Proportional to 5,601, 7,729.44 and 3,243.12

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Solution

The fourth proportional to 5,601, 7,729.44 and 3,243.12 is: 4,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 7,729.44 = 3,243.12 : x
  2. Step 2: Convert to fraction form
    5,601/7,729.44 = 3,243.12/x
  3. Step 3: Cross multiply
    5,601x = 7,729.44 × 3,243.12
  4. Step 4: Simplify right side
    5,601x = 25,067,501.45
  5. Step 5: Solve for x
    x = 25,067,501.45/5,601
  6. Step 6: Final answer
    x = 4,475.54

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Double scale
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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.