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Finding the Fourth Proportional to 3,772.10, 5,654 and 1,689.90

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Solution

The fourth proportional to 3,772.10, 5,654 and 1,689.90 is: 2,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.10 : 5,654 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    3,772.10/5,654 = 1,689.90/x
  3. Step 3: Cross multiply
    3,772.10x = 5,654 × 1,689.90
  4. Step 4: Simplify right side
    3,772.10x = 9,554,694.60
  5. Step 5: Solve for x
    x = 9,554,694.60/3,772.10
  6. Step 6: Final answer
    x = 2,532.99

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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.