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Finding the Fourth Proportional to 3,856.68, 5,322.42 and 2,531.16

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Solution

The fourth proportional to 3,856.68, 5,322.42 and 2,531.16 is: 3,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.68 : 5,322.42 = 2,531.16 : x
  2. Step 2: Convert to fraction form
    3,856.68/5,322.42 = 2,531.16/x
  3. Step 3: Cross multiply
    3,856.68x = 5,322.42 × 2,531.16
  4. Step 4: Simplify right side
    3,856.68x = 13,471,896.61
  5. Step 5: Solve for x
    x = 13,471,896.61/3,856.68
  6. Step 6: Final answer
    x = 3,493.13

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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.