Home / 2,078.19-3,116.55-691.34

Finding the Fourth Proportional to 2,078.19, 3,116.55 and 691.34

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Solution

The fourth proportional to 2,078.19, 3,116.55 and 691.34 is: 1,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.19 : 3,116.55 = 691.34 : x
  2. Step 2: Convert to fraction form
    2,078.19/3,116.55 = 691.34/x
  3. Step 3: Cross multiply
    2,078.19x = 3,116.55 × 691.34
  4. Step 4: Simplify right side
    2,078.19x = 2,154,580.09
  5. Step 5: Solve for x
    x = 2,154,580.09/2,078.19
  6. Step 6: Final answer
    x = 1,036.76

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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.