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Finding the Fourth Proportional to 2,863.68, 3,952.53 and 1,867.20

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Solution

The fourth proportional to 2,863.68, 3,952.53 and 1,867.20 is: 2,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.68 : 3,952.53 = 1,867.20 : x
  2. Step 2: Convert to fraction form
    2,863.68/3,952.53 = 1,867.20/x
  3. Step 3: Cross multiply
    2,863.68x = 3,952.53 × 1,867.20
  4. Step 4: Simplify right side
    2,863.68x = 7,380,164.02
  5. Step 5: Solve for x
    x = 7,380,164.02/2,863.68
  6. Step 6: Final answer
    x = 2,577.16

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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.