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Finding the Fourth Proportional to 2,071.28, 3,104.28 and 771.20

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Solution

The fourth proportional to 2,071.28, 3,104.28 and 771.20 is: 1,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.28 : 3,104.28 = 771.20 : x
  2. Step 2: Convert to fraction form
    2,071.28/3,104.28 = 771.20/x
  3. Step 3: Cross multiply
    2,071.28x = 3,104.28 × 771.20
  4. Step 4: Simplify right side
    2,071.28x = 2,394,020.74
  5. Step 5: Solve for x
    x = 2,394,020.74/2,071.28
  6. Step 6: Final answer
    x = 1,155.82

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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.