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Finding the Fourth Proportional to 3,763.01, 5,636.31 and 1,811.11

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Solution

The fourth proportional to 3,763.01, 5,636.31 and 1,811.11 is: 2,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.01 : 5,636.31 = 1,811.11 : x
  2. Step 2: Convert to fraction form
    3,763.01/5,636.31 = 1,811.11/x
  3. Step 3: Cross multiply
    3,763.01x = 5,636.31 × 1,811.11
  4. Step 4: Simplify right side
    3,763.01x = 10,207,972.18
  5. Step 5: Solve for x
    x = 10,207,972.18/3,763.01
  6. Step 6: Final answer
    x = 2,712.72

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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.