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Finding the Fourth Proportional to 2,429.87, 3,351.17 and 1,987.00

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Solution

The fourth proportional to 2,429.87, 3,351.17 and 1,987.00 is: 2,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.87 : 3,351.17 = 1,987.00 : x
  2. Step 2: Convert to fraction form
    2,429.87/3,351.17 = 1,987.00/x
  3. Step 3: Cross multiply
    2,429.87x = 3,351.17 × 1,987.00
  4. Step 4: Simplify right side
    2,429.87x = 6,658,771.38
  5. Step 5: Solve for x
    x = 6,658,771.38/2,429.87
  6. Step 6: Final answer
    x = 2,740.39

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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.