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Finding the Fourth Proportional to 5,270.28, 7,269.84 and 3,174

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Solution

The fourth proportional to 5,270.28, 7,269.84 and 3,174 is: 4,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.28 : 7,269.84 = 3,174 : x
  2. Step 2: Convert to fraction form
    5,270.28/7,269.84 = 3,174/x
  3. Step 3: Cross multiply
    5,270.28x = 7,269.84 × 3,174
  4. Step 4: Simplify right side
    5,270.28x = 23,074,472.16
  5. Step 5: Solve for x
    x = 23,074,472.16/5,270.28
  6. Step 6: Final answer
    x = 4,378.23

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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.