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Finding the Fourth Proportional to 2,827.03, 3,902.10 and 1,987.93

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Solution

The fourth proportional to 2,827.03, 3,902.10 and 1,987.93 is: 2,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.03 : 3,902.10 = 1,987.93 : x
  2. Step 2: Convert to fraction form
    2,827.03/3,902.10 = 1,987.93/x
  3. Step 3: Cross multiply
    2,827.03x = 3,902.10 × 1,987.93
  4. Step 4: Simplify right side
    2,827.03x = 7,757,101.65
  5. Step 5: Solve for x
    x = 7,757,101.65/2,827.03
  6. Step 6: Final answer
    x = 2,743.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.