Home / 2,078.06-3,116.81-691.40

Finding the Fourth Proportional to 2,078.06, 3,116.81 and 691.40

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Solution

The fourth proportional to 2,078.06, 3,116.81 and 691.40 is: 1,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.06 : 3,116.81 = 691.40 : x
  2. Step 2: Convert to fraction form
    2,078.06/3,116.81 = 691.40/x
  3. Step 3: Cross multiply
    2,078.06x = 3,116.81 × 691.40
  4. Step 4: Simplify right side
    2,078.06x = 2,154,971.95
  5. Step 5: Solve for x
    x = 2,154,971.95/2,078.06
  6. Step 6: Final answer
    x = 1,037.01

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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.