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Finding the Fourth Proportional to 2,582.49, 3,873.78 and 634.71

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Solution

The fourth proportional to 2,582.49, 3,873.78 and 634.71 is: 952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.49 : 3,873.78 = 634.71 : x
  2. Step 2: Convert to fraction form
    2,582.49/3,873.78 = 634.71/x
  3. Step 3: Cross multiply
    2,582.49x = 3,873.78 × 634.71
  4. Step 4: Simplify right side
    2,582.49x = 2,458,726.90
  5. Step 5: Solve for x
    x = 2,458,726.90/2,582.49
  6. Step 6: Final answer
    x = 952.08

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1.5x scale

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.