Home / 2,272.80-3,406.53-1,299.57

Finding the Fourth Proportional to 2,272.80, 3,406.53 and 1,299.57

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Solution

The fourth proportional to 2,272.80, 3,406.53 and 1,299.57 is: 1,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.80 : 3,406.53 = 1,299.57 : x
  2. Step 2: Convert to fraction form
    2,272.80/3,406.53 = 1,299.57/x
  3. Step 3: Cross multiply
    2,272.80x = 3,406.53 × 1,299.57
  4. Step 4: Simplify right side
    2,272.80x = 4,427,024.19
  5. Step 5: Solve for x
    x = 4,427,024.19/2,272.80
  6. Step 6: Final answer
    x = 1,947.83

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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.