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Finding the Fourth Proportional to 1,882.26, 2,823.39 and 786.78

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Solution

The fourth proportional to 1,882.26, 2,823.39 and 786.78 is: 1,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.26 : 2,823.39 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,882.26/2,823.39 = 786.78/x
  3. Step 3: Cross multiply
    1,882.26x = 2,823.39 × 786.78
  4. Step 4: Simplify right side
    1,882.26x = 2,221,386.78
  5. Step 5: Solve for x
    x = 2,221,386.78/1,882.26
  6. Step 6: Final answer
    x = 1,180.17

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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.