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Finding the Fourth Proportional to 1,964.80, 2,712 and 1,375.54

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Solution

The fourth proportional to 1,964.80, 2,712 and 1,375.54 is: 1,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.80 : 2,712 = 1,375.54 : x
  2. Step 2: Convert to fraction form
    1,964.80/2,712 = 1,375.54/x
  3. Step 3: Cross multiply
    1,964.80x = 2,712 × 1,375.54
  4. Step 4: Simplify right side
    1,964.80x = 3,730,464.48
  5. Step 5: Solve for x
    x = 3,730,464.48/1,964.80
  6. Step 6: Final answer
    x = 1,898.65

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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.