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Finding the Fourth Proportional to 5,761.60, 8,622.96 and 4,789.60

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Solution

The fourth proportional to 5,761.60, 8,622.96 and 4,789.60 is: 7,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.60 : 8,622.96 = 4,789.60 : x
  2. Step 2: Convert to fraction form
    5,761.60/8,622.96 = 4,789.60/x
  3. Step 3: Cross multiply
    5,761.60x = 8,622.96 × 4,789.60
  4. Step 4: Simplify right side
    5,761.60x = 41,300,529.22
  5. Step 5: Solve for x
    x = 41,300,529.22/5,761.60
  6. Step 6: Final answer
    x = 7,168.24

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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.