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Finding the Fourth Proportional to 2,764.64, 4,143.54 and 1,282.98

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Solution

The fourth proportional to 2,764.64, 4,143.54 and 1,282.98 is: 1,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.64 : 4,143.54 = 1,282.98 : x
  2. Step 2: Convert to fraction form
    2,764.64/4,143.54 = 1,282.98/x
  3. Step 3: Cross multiply
    2,764.64x = 4,143.54 × 1,282.98
  4. Step 4: Simplify right side
    2,764.64x = 5,316,078.95
  5. Step 5: Solve for x
    x = 5,316,078.95/2,764.64
  6. Step 6: Final answer
    x = 1,922.88

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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.