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Finding the Fourth Proportional to 2,627.19, 3,940.85 and 778.30

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Solution

The fourth proportional to 2,627.19, 3,940.85 and 778.30 is: 1,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.19 : 3,940.85 = 778.30 : x
  2. Step 2: Convert to fraction form
    2,627.19/3,940.85 = 778.30/x
  3. Step 3: Cross multiply
    2,627.19x = 3,940.85 × 778.30
  4. Step 4: Simplify right side
    2,627.19x = 3,067,155.65
  5. Step 5: Solve for x
    x = 3,067,155.65/2,627.19
  6. Step 6: Final answer
    x = 1,167.47

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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.