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Finding the Fourth Proportional to 2,734.88, 3,772 and 2,420.48

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Solution

The fourth proportional to 2,734.88, 3,772 and 2,420.48 is: 3,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.88 : 3,772 = 2,420.48 : x
  2. Step 2: Convert to fraction form
    2,734.88/3,772 = 2,420.48/x
  3. Step 3: Cross multiply
    2,734.88x = 3,772 × 2,420.48
  4. Step 4: Simplify right side
    2,734.88x = 9,130,050.56
  5. Step 5: Solve for x
    x = 9,130,050.56/2,734.88
  6. Step 6: Final answer
    x = 3,338.37

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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.