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Finding the Fourth Proportional to 2,575.19, 3,862.41 and 820.19

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Solution

The fourth proportional to 2,575.19, 3,862.41 and 820.19 is: 1,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.19 : 3,862.41 = 820.19 : x
  2. Step 2: Convert to fraction form
    2,575.19/3,862.41 = 820.19/x
  3. Step 3: Cross multiply
    2,575.19x = 3,862.41 × 820.19
  4. Step 4: Simplify right side
    2,575.19x = 3,167,910.06
  5. Step 5: Solve for x
    x = 3,167,910.06/2,575.19
  6. Step 6: Final answer
    x = 1,230.17

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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.