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Finding the Fourth Proportional to 2,575, 3,862.32 and 1,343.10

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Solution

The fourth proportional to 2,575, 3,862.32 and 1,343.10 is: 2,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575 : 3,862.32 = 1,343.10 : x
  2. Step 2: Convert to fraction form
    2,575/3,862.32 = 1,343.10/x
  3. Step 3: Cross multiply
    2,575x = 3,862.32 × 1,343.10
  4. Step 4: Simplify right side
    2,575x = 5,187,481.99
  5. Step 5: Solve for x
    x = 5,187,481.99/2,575
  6. Step 6: Final answer
    x = 2,014.56

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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.