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Finding the Fourth Proportional to 2,582.51, 3,873.75 and 634.70

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Solution

The fourth proportional to 2,582.51, 3,873.75 and 634.70 is: 952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.51 : 3,873.75 = 634.70 : x
  2. Step 2: Convert to fraction form
    2,582.51/3,873.75 = 634.70/x
  3. Step 3: Cross multiply
    2,582.51x = 3,873.75 × 634.70
  4. Step 4: Simplify right side
    2,582.51x = 2,458,649.76
  5. Step 5: Solve for x
    x = 2,458,649.76/2,582.51
  6. Step 6: Final answer
    x = 952.04

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Similar ratio
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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.