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Finding the Fourth Proportional to 3,849.99, 5,775.31 and 1,509.83

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Solution

The fourth proportional to 3,849.99, 5,775.31 and 1,509.83 is: 2,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.99 : 5,775.31 = 1,509.83 : x
  2. Step 2: Convert to fraction form
    3,849.99/5,775.31 = 1,509.83/x
  3. Step 3: Cross multiply
    3,849.99x = 5,775.31 × 1,509.83
  4. Step 4: Simplify right side
    3,849.99x = 8,719,724.97
  5. Step 5: Solve for x
    x = 8,719,724.97/3,849.99
  6. Step 6: Final answer
    x = 2,264.87

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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.