Home / 2,078.92-3,115.14-1,307.80

Finding the Fourth Proportional to 2,078.92, 3,115.14 and 1,307.80

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Solution

The fourth proportional to 2,078.92, 3,115.14 and 1,307.80 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.92 : 3,115.14 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    2,078.92/3,115.14 = 1,307.80/x
  3. Step 3: Cross multiply
    2,078.92x = 3,115.14 × 1,307.80
  4. Step 4: Simplify right side
    2,078.92x = 4,073,980.09
  5. Step 5: Solve for x
    x = 4,073,980.09/2,078.92
  6. Step 6: Final answer
    x = 1,959.66

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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.