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Finding the Fourth Proportional to 5,751.68, 8,629.14 and 1,856.39

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Solution

The fourth proportional to 5,751.68, 8,629.14 and 1,856.39 is: 2,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.68 : 8,629.14 = 1,856.39 : x
  2. Step 2: Convert to fraction form
    5,751.68/8,629.14 = 1,856.39/x
  3. Step 3: Cross multiply
    5,751.68x = 8,629.14 × 1,856.39
  4. Step 4: Simplify right side
    5,751.68x = 16,019,049.20
  5. Step 5: Solve for x
    x = 16,019,049.20/5,751.68
  6. Step 6: Final answer
    x = 2,785.11

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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.