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Finding the Fourth Proportional to 2,052.60, 3,078.28 and 820.18

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Solution

The fourth proportional to 2,052.60, 3,078.28 and 820.18 is: 1,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.60 : 3,078.28 = 820.18 : x
  2. Step 2: Convert to fraction form
    2,052.60/3,078.28 = 820.18/x
  3. Step 3: Cross multiply
    2,052.60x = 3,078.28 × 820.18
  4. Step 4: Simplify right side
    2,052.60x = 2,524,743.69
  5. Step 5: Solve for x
    x = 2,524,743.69/2,052.60
  6. Step 6: Final answer
    x = 1,230.02

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1.5x scale

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.