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Finding the Fourth Proportional to 7,170.80, 9,896.28 and 4,027.28

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Solution

The fourth proportional to 7,170.80, 9,896.28 and 4,027.28 is: 5,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.80 : 9,896.28 = 4,027.28 : x
  2. Step 2: Convert to fraction form
    7,170.80/9,896.28 = 4,027.28/x
  3. Step 3: Cross multiply
    7,170.80x = 9,896.28 × 4,027.28
  4. Step 4: Simplify right side
    7,170.80x = 39,855,090.52
  5. Step 5: Solve for x
    x = 39,855,090.52/7,170.80
  6. Step 6: Final answer
    x = 5,557.97

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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.