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Finding the Fourth Proportional to 2,078.05, 3,115.78 and 691.03

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Solution

The fourth proportional to 2,078.05, 3,115.78 and 691.03 is: 1,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.05 : 3,115.78 = 691.03 : x
  2. Step 2: Convert to fraction form
    2,078.05/3,115.78 = 691.03/x
  3. Step 3: Cross multiply
    2,078.05x = 3,115.78 × 691.03
  4. Step 4: Simplify right side
    2,078.05x = 2,153,097.45
  5. Step 5: Solve for x
    x = 2,153,097.45/2,078.05
  6. Step 6: Final answer
    x = 1,036.11

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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.