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Finding the Fourth Proportional to 2,862.50, 3,950.32 and 1,620.50

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Solution

The fourth proportional to 2,862.50, 3,950.32 and 1,620.50 is: 2,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.50 : 3,950.32 = 1,620.50 : x
  2. Step 2: Convert to fraction form
    2,862.50/3,950.32 = 1,620.50/x
  3. Step 3: Cross multiply
    2,862.50x = 3,950.32 × 1,620.50
  4. Step 4: Simplify right side
    2,862.50x = 6,401,493.56
  5. Step 5: Solve for x
    x = 6,401,493.56/2,862.50
  6. Step 6: Final answer
    x = 2,236.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.