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Finding the Fourth Proportional to 2,709.30, 3,738.99 and 1,530.78

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Solution

The fourth proportional to 2,709.30, 3,738.99 and 1,530.78 is: 2,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.30 : 3,738.99 = 1,530.78 : x
  2. Step 2: Convert to fraction form
    2,709.30/3,738.99 = 1,530.78/x
  3. Step 3: Cross multiply
    2,709.30x = 3,738.99 × 1,530.78
  4. Step 4: Simplify right side
    2,709.30x = 5,723,571.11
  5. Step 5: Solve for x
    x = 5,723,571.11/2,709.30
  6. Step 6: Final answer
    x = 2,112.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.