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Finding the Fourth Proportional to 2,713.86, 4,071.30 and 864.48

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Solution

The fourth proportional to 2,713.86, 4,071.30 and 864.48 is: 1,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.86 : 4,071.30 = 864.48 : x
  2. Step 2: Convert to fraction form
    2,713.86/4,071.30 = 864.48/x
  3. Step 3: Cross multiply
    2,713.86x = 4,071.30 × 864.48
  4. Step 4: Simplify right side
    2,713.86x = 3,519,557.42
  5. Step 5: Solve for x
    x = 3,519,557.42/2,713.86
  6. Step 6: Final answer
    x = 1,296.88

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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.