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Finding the Fourth Proportional to 2,777.73, 4,162.98 and 2,078.90

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Solution

The fourth proportional to 2,777.73, 4,162.98 and 2,078.90 is: 3,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.73 : 4,162.98 = 2,078.90 : x
  2. Step 2: Convert to fraction form
    2,777.73/4,162.98 = 2,078.90/x
  3. Step 3: Cross multiply
    2,777.73x = 4,162.98 × 2,078.90
  4. Step 4: Simplify right side
    2,777.73x = 8,654,445.13
  5. Step 5: Solve for x
    x = 8,654,445.13/2,777.73
  6. Step 6: Final answer
    x = 3,115.66

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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.