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Finding the Fourth Proportional to 2,078.59, 3,117.48 and 691.69

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Solution

The fourth proportional to 2,078.59, 3,117.48 and 691.69 is: 1,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.59 : 3,117.48 = 691.69 : x
  2. Step 2: Convert to fraction form
    2,078.59/3,117.48 = 691.69/x
  3. Step 3: Cross multiply
    2,078.59x = 3,117.48 × 691.69
  4. Step 4: Simplify right side
    2,078.59x = 2,156,329.74
  5. Step 5: Solve for x
    x = 2,156,329.74/2,078.59
  6. Step 6: Final answer
    x = 1,037.40

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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.