Home / 2,078.64-3,117.27-691.60

Finding the Fourth Proportional to 2,078.64, 3,117.27 and 691.60

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Solution

The fourth proportional to 2,078.64, 3,117.27 and 691.60 is: 1,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.64 : 3,117.27 = 691.60 : x
  2. Step 2: Convert to fraction form
    2,078.64/3,117.27 = 691.60/x
  3. Step 3: Cross multiply
    2,078.64x = 3,117.27 × 691.60
  4. Step 4: Simplify right side
    2,078.64x = 2,155,903.93
  5. Step 5: Solve for x
    x = 2,155,903.93/2,078.64
  6. Step 6: Final answer
    x = 1,037.17

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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.