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Finding the Fourth Proportional to 5,947.20, 8,917.20 and 2,659.68

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Solution

The fourth proportional to 5,947.20, 8,917.20 and 2,659.68 is: 3,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.20 : 8,917.20 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    5,947.20/8,917.20 = 2,659.68/x
  3. Step 3: Cross multiply
    5,947.20x = 8,917.20 × 2,659.68
  4. Step 4: Simplify right side
    5,947.20x = 23,716,898.50
  5. Step 5: Solve for x
    x = 23,716,898.50/5,947.20
  6. Step 6: Final answer
    x = 3,987.91

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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.