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Finding the Fourth Proportional to 3,769.72, 5,654.28 and 1,689.84

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Solution

The fourth proportional to 3,769.72, 5,654.28 and 1,689.84 is: 2,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.72 : 5,654.28 = 1,689.84 : x
  2. Step 2: Convert to fraction form
    3,769.72/5,654.28 = 1,689.84/x
  3. Step 3: Cross multiply
    3,769.72x = 5,654.28 × 1,689.84
  4. Step 4: Simplify right side
    3,769.72x = 9,554,828.52
  5. Step 5: Solve for x
    x = 9,554,828.52/3,769.72
  6. Step 6: Final answer
    x = 2,534.63

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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.