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Finding the Fourth Proportional to 2,077.91, 3,115.95 and 778.47

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Solution

The fourth proportional to 2,077.91, 3,115.95 and 778.47 is: 1,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.91 : 3,115.95 = 778.47 : x
  2. Step 2: Convert to fraction form
    2,077.91/3,115.95 = 778.47/x
  3. Step 3: Cross multiply
    2,077.91x = 3,115.95 × 778.47
  4. Step 4: Simplify right side
    2,077.91x = 2,425,660.45
  5. Step 5: Solve for x
    x = 2,425,660.45/2,077.91
  6. Step 6: Final answer
    x = 1,167.36

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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.