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Finding the Fourth Proportional to 5,321.60, 7,980.80 and 2,201.52

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Solution

The fourth proportional to 5,321.60, 7,980.80 and 2,201.52 is: 3,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.60 : 7,980.80 = 2,201.52 : x
  2. Step 2: Convert to fraction form
    5,321.60/7,980.80 = 2,201.52/x
  3. Step 3: Cross multiply
    5,321.60x = 7,980.80 × 2,201.52
  4. Step 4: Simplify right side
    5,321.60x = 17,569,890.82
  5. Step 5: Solve for x
    x = 17,569,890.82/5,321.60
  6. Step 6: Final answer
    x = 3,301.62

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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.