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Finding the Fourth Proportional to 3,315.60, 4,972.80 and 2,080.80

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Solution

The fourth proportional to 3,315.60, 4,972.80 and 2,080.80 is: 3,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.60 : 4,972.80 = 2,080.80 : x
  2. Step 2: Convert to fraction form
    3,315.60/4,972.80 = 2,080.80/x
  3. Step 3: Cross multiply
    3,315.60x = 4,972.80 × 2,080.80
  4. Step 4: Simplify right side
    3,315.60x = 10,347,402.24
  5. Step 5: Solve for x
    x = 10,347,402.24/3,315.60
  6. Step 6: Final answer
    x = 3,120.82

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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.