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Finding the Fourth Proportional to 3,793, 5,689.82 and 1,057

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Solution

The fourth proportional to 3,793, 5,689.82 and 1,057 is: 1,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 5,689.82 = 1,057 : x
  2. Step 2: Convert to fraction form
    3,793/5,689.82 = 1,057/x
  3. Step 3: Cross multiply
    3,793x = 5,689.82 × 1,057
  4. Step 4: Simplify right side
    3,793x = 6,014,139.74
  5. Step 5: Solve for x
    x = 6,014,139.74/3,793
  6. Step 6: Final answer
    x = 1,585.59

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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.