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Finding the Fourth Proportional to 2,582.27, 3,873.33 and 634.49

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Solution

The fourth proportional to 2,582.27, 3,873.33 and 634.49 is: 951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.27 : 3,873.33 = 634.49 : x
  2. Step 2: Convert to fraction form
    2,582.27/3,873.33 = 634.49/x
  3. Step 3: Cross multiply
    2,582.27x = 3,873.33 × 634.49
  4. Step 4: Simplify right side
    2,582.27x = 2,457,569.79
  5. Step 5: Solve for x
    x = 2,457,569.79/2,582.27
  6. Step 6: Final answer
    x = 951.71

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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.