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Finding the Fourth Proportional to 5,856.95, 8,785.13 and 2,158.87

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Solution

The fourth proportional to 5,856.95, 8,785.13 and 2,158.87 is: 3,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.95 : 8,785.13 = 2,158.87 : x
  2. Step 2: Convert to fraction form
    5,856.95/8,785.13 = 2,158.87/x
  3. Step 3: Cross multiply
    5,856.95x = 8,785.13 × 2,158.87
  4. Step 4: Simplify right side
    5,856.95x = 18,965,942.81
  5. Step 5: Solve for x
    x = 18,965,942.81/5,856.95
  6. Step 6: Final answer
    x = 3,238.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.