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Finding the Fourth Proportional to 2,077.42, 3,115.76 and 778.62

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Solution

The fourth proportional to 2,077.42, 3,115.76 and 778.62 is: 1,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.42 : 3,115.76 = 778.62 : x
  2. Step 2: Convert to fraction form
    2,077.42/3,115.76 = 778.62/x
  3. Step 3: Cross multiply
    2,077.42x = 3,115.76 × 778.62
  4. Step 4: Simplify right side
    2,077.42x = 2,425,993.05
  5. Step 5: Solve for x
    x = 2,425,993.05/2,077.42
  6. Step 6: Final answer
    x = 1,167.79

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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.