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Finding the Fourth Proportional to 4,723.31, 7,081.92 and 1,800.02

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Solution

The fourth proportional to 4,723.31, 7,081.92 and 1,800.02 is: 2,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.31 : 7,081.92 = 1,800.02 : x
  2. Step 2: Convert to fraction form
    4,723.31/7,081.92 = 1,800.02/x
  3. Step 3: Cross multiply
    4,723.31x = 7,081.92 × 1,800.02
  4. Step 4: Simplify right side
    4,723.31x = 12,747,562.23
  5. Step 5: Solve for x
    x = 12,747,562.23/4,723.31
  6. Step 6: Final answer
    x = 2,698.86

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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.