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Finding the Fourth Proportional to 3,748.64, 5,174.16 and 2,572.64

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Solution

The fourth proportional to 3,748.64, 5,174.16 and 2,572.64 is: 3,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.64 : 5,174.16 = 2,572.64 : x
  2. Step 2: Convert to fraction form
    3,748.64/5,174.16 = 2,572.64/x
  3. Step 3: Cross multiply
    3,748.64x = 5,174.16 × 2,572.64
  4. Step 4: Simplify right side
    3,748.64x = 13,311,250.98
  5. Step 5: Solve for x
    x = 13,311,250.98/3,748.64
  6. Step 6: Final answer
    x = 3,550.95

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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.