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Finding the Fourth Proportional to 2,070.59, 3,105.88 and 771.75

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Solution

The fourth proportional to 2,070.59, 3,105.88 and 771.75 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.59 : 3,105.88 = 771.75 : x
  2. Step 2: Convert to fraction form
    2,070.59/3,105.88 = 771.75/x
  3. Step 3: Cross multiply
    2,070.59x = 3,105.88 × 771.75
  4. Step 4: Simplify right side
    2,070.59x = 2,396,960.96
  5. Step 5: Solve for x
    x = 2,396,960.96/2,070.59
  6. Step 6: Final answer
    x = 1,157.63

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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.