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Finding the Fourth Proportional to 2,420.82, 3,340.74 and 1,372.88

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Solution

The fourth proportional to 2,420.82, 3,340.74 and 1,372.88 is: 1,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.82 : 3,340.74 = 1,372.88 : x
  2. Step 2: Convert to fraction form
    2,420.82/3,340.74 = 1,372.88/x
  3. Step 3: Cross multiply
    2,420.82x = 3,340.74 × 1,372.88
  4. Step 4: Simplify right side
    2,420.82x = 4,586,418.43
  5. Step 5: Solve for x
    x = 4,586,418.43/2,420.82
  6. Step 6: Final answer
    x = 1,894.57

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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.