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Finding the Fourth Proportional to 2,077.92, 3,117.42 and 779.76

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Solution

The fourth proportional to 2,077.92, 3,117.42 and 779.76 is: 1,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.92 : 3,117.42 = 779.76 : x
  2. Step 2: Convert to fraction form
    2,077.92/3,117.42 = 779.76/x
  3. Step 3: Cross multiply
    2,077.92x = 3,117.42 × 779.76
  4. Step 4: Simplify right side
    2,077.92x = 2,430,839.42
  5. Step 5: Solve for x
    x = 2,430,839.42/2,077.92
  6. Step 6: Final answer
    x = 1,169.84

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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.