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Finding the Fourth Proportional to 2,578.25, 3,867.35 and 846.87

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Solution

The fourth proportional to 2,578.25, 3,867.35 and 846.87 is: 1,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.25 : 3,867.35 = 846.87 : x
  2. Step 2: Convert to fraction form
    2,578.25/3,867.35 = 846.87/x
  3. Step 3: Cross multiply
    2,578.25x = 3,867.35 × 846.87
  4. Step 4: Simplify right side
    2,578.25x = 3,275,138.46
  5. Step 5: Solve for x
    x = 3,275,138.46/2,578.25
  6. Step 6: Final answer
    x = 1,270.30

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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.