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Finding the Fourth Proportional to 2,169.68, 3,252.81 and 1,000.43

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Solution

The fourth proportional to 2,169.68, 3,252.81 and 1,000.43 is: 1,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.68 : 3,252.81 = 1,000.43 : x
  2. Step 2: Convert to fraction form
    2,169.68/3,252.81 = 1,000.43/x
  3. Step 3: Cross multiply
    2,169.68x = 3,252.81 × 1,000.43
  4. Step 4: Simplify right side
    2,169.68x = 3,254,208.71
  5. Step 5: Solve for x
    x = 3,254,208.71/2,169.68
  6. Step 6: Final answer
    x = 1,499.86

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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.