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Finding the Fourth Proportional to 4,723.38, 7,080.80 and 2,871.72

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Solution

The fourth proportional to 4,723.38, 7,080.80 and 2,871.72 is: 4,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.38 : 7,080.80 = 2,871.72 : x
  2. Step 2: Convert to fraction form
    4,723.38/7,080.80 = 2,871.72/x
  3. Step 3: Cross multiply
    4,723.38x = 7,080.80 × 2,871.72
  4. Step 4: Simplify right side
    4,723.38x = 20,334,060.62
  5. Step 5: Solve for x
    x = 20,334,060.62/4,723.38
  6. Step 6: Final answer
    x = 4,304.98

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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.