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Finding the Fourth Proportional to 3,752.79, 5,174.95 and 3,223.42

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Solution

The fourth proportional to 3,752.79, 5,174.95 and 3,223.42 is: 4,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.79 : 5,174.95 = 3,223.42 : x
  2. Step 2: Convert to fraction form
    3,752.79/5,174.95 = 3,223.42/x
  3. Step 3: Cross multiply
    3,752.79x = 5,174.95 × 3,223.42
  4. Step 4: Simplify right side
    3,752.79x = 16,681,037.33
  5. Step 5: Solve for x
    x = 16,681,037.33/3,752.79
  6. Step 6: Final answer
    x = 4,444.97

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Half scale
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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.