Home / 1,743.26-2,611.82-919.72

Finding the Fourth Proportional to 1,743.26, 2,611.82 and 919.72

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Solution

The fourth proportional to 1,743.26, 2,611.82 and 919.72 is: 1,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.26 : 2,611.82 = 919.72 : x
  2. Step 2: Convert to fraction form
    1,743.26/2,611.82 = 919.72/x
  3. Step 3: Cross multiply
    1,743.26x = 2,611.82 × 919.72
  4. Step 4: Simplify right side
    1,743.26x = 2,402,146.07
  5. Step 5: Solve for x
    x = 2,402,146.07/1,743.26
  6. Step 6: Final answer
    x = 1,377.96

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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.