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Finding the Fourth Proportional to 3,174.48, 4,761.48 and 1,324.92

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Solution

The fourth proportional to 3,174.48, 4,761.48 and 1,324.92 is: 1,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.48 : 4,761.48 = 1,324.92 : x
  2. Step 2: Convert to fraction form
    3,174.48/4,761.48 = 1,324.92/x
  3. Step 3: Cross multiply
    3,174.48x = 4,761.48 × 1,324.92
  4. Step 4: Simplify right side
    3,174.48x = 6,308,580.08
  5. Step 5: Solve for x
    x = 6,308,580.08/3,174.48
  6. Step 6: Final answer
    x = 1,987.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.