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Finding the Fourth Proportional to 3,758.92, 5,188.80 and 2,712.40

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Solution

The fourth proportional to 3,758.92, 5,188.80 and 2,712.40 is: 3,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.92 : 5,188.80 = 2,712.40 : x
  2. Step 2: Convert to fraction form
    3,758.92/5,188.80 = 2,712.40/x
  3. Step 3: Cross multiply
    3,758.92x = 5,188.80 × 2,712.40
  4. Step 4: Simplify right side
    3,758.92x = 14,074,101.12
  5. Step 5: Solve for x
    x = 14,074,101.12/3,758.92
  6. Step 6: Final answer
    x = 3,744.19

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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.