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Finding the Fourth Proportional to 2,078.69, 3,117.63 and 691.70

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Solution

The fourth proportional to 2,078.69, 3,117.63 and 691.70 is: 1,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.69 : 3,117.63 = 691.70 : x
  2. Step 2: Convert to fraction form
    2,078.69/3,117.63 = 691.70/x
  3. Step 3: Cross multiply
    2,078.69x = 3,117.63 × 691.70
  4. Step 4: Simplify right side
    2,078.69x = 2,156,464.67
  5. Step 5: Solve for x
    x = 2,156,464.67/2,078.69
  6. Step 6: Final answer
    x = 1,037.42

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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.