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Finding the Fourth Proportional to 7,171.76, 9,896.90 and 4,377.26

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Solution

The fourth proportional to 7,171.76, 9,896.90 and 4,377.26 is: 6,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.76 : 9,896.90 = 4,377.26 : x
  2. Step 2: Convert to fraction form
    7,171.76/9,896.90 = 4,377.26/x
  3. Step 3: Cross multiply
    7,171.76x = 9,896.90 × 4,377.26
  4. Step 4: Simplify right side
    7,171.76x = 43,321,233.12
  5. Step 5: Solve for x
    x = 43,321,233.12/7,171.76
  6. Step 6: Final answer
    x = 6,040.53

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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.