Home / 2,711.93-3,742.49-1,533

Finding the Fourth Proportional to 2,711.93, 3,742.49 and 1,533

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Solution

The fourth proportional to 2,711.93, 3,742.49 and 1,533 is: 2,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.93 : 3,742.49 = 1,533 : x
  2. Step 2: Convert to fraction form
    2,711.93/3,742.49 = 1,533/x
  3. Step 3: Cross multiply
    2,711.93x = 3,742.49 × 1,533
  4. Step 4: Simplify right side
    2,711.93x = 5,737,241.00
  5. Step 5: Solve for x
    x = 5,737,241.00/2,711.93
  6. Step 6: Final answer
    x = 2,115.56

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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.