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Finding the Fourth Proportional to 3,815.29, 5,719.02 and 1,838.01

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Solution

The fourth proportional to 3,815.29, 5,719.02 and 1,838.01 is: 2,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.29 : 5,719.02 = 1,838.01 : x
  2. Step 2: Convert to fraction form
    3,815.29/5,719.02 = 1,838.01/x
  3. Step 3: Cross multiply
    3,815.29x = 5,719.02 × 1,838.01
  4. Step 4: Simplify right side
    3,815.29x = 10,511,615.95
  5. Step 5: Solve for x
    x = 10,511,615.95/3,815.29
  6. Step 6: Final answer
    x = 2,755.13

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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.