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Finding the Fourth Proportional to 1,868.71, 2,578.87 and 1,029.43

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Solution

The fourth proportional to 1,868.71, 2,578.87 and 1,029.43 is: 1,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.71 : 2,578.87 = 1,029.43 : x
  2. Step 2: Convert to fraction form
    1,868.71/2,578.87 = 1,029.43/x
  3. Step 3: Cross multiply
    1,868.71x = 2,578.87 × 1,029.43
  4. Step 4: Simplify right side
    1,868.71x = 2,654,766.14
  5. Step 5: Solve for x
    x = 2,654,766.14/1,868.71
  6. Step 6: Final answer
    x = 1,420.64

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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.