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Finding the Fourth Proportional to 1,803.39, 2,706 and 829.71

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Solution

The fourth proportional to 1,803.39, 2,706 and 829.71 is: 1,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.39 : 2,706 = 829.71 : x
  2. Step 2: Convert to fraction form
    1,803.39/2,706 = 829.71/x
  3. Step 3: Cross multiply
    1,803.39x = 2,706 × 829.71
  4. Step 4: Simplify right side
    1,803.39x = 2,245,195.26
  5. Step 5: Solve for x
    x = 2,245,195.26/1,803.39
  6. Step 6: Final answer
    x = 1,244.99

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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.