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Finding the Fourth Proportional to 4,287.72, 6,432.72 and 1,689.84

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Solution

The fourth proportional to 4,287.72, 6,432.72 and 1,689.84 is: 2,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.72 : 6,432.72 = 1,689.84 : x
  2. Step 2: Convert to fraction form
    4,287.72/6,432.72 = 1,689.84/x
  3. Step 3: Cross multiply
    4,287.72x = 6,432.72 × 1,689.84
  4. Step 4: Simplify right side
    4,287.72x = 10,870,267.56
  5. Step 5: Solve for x
    x = 10,870,267.56/4,287.72
  6. Step 6: Final answer
    x = 2,535.21

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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.