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Finding the Fourth Proportional to 1,869.73, 2,803.29 and 829.16

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Solution

The fourth proportional to 1,869.73, 2,803.29 and 829.16 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.73 : 2,803.29 = 829.16 : x
  2. Step 2: Convert to fraction form
    1,869.73/2,803.29 = 829.16/x
  3. Step 3: Cross multiply
    1,869.73x = 2,803.29 × 829.16
  4. Step 4: Simplify right side
    1,869.73x = 2,324,375.94
  5. Step 5: Solve for x
    x = 2,324,375.94/1,869.73
  6. Step 6: Final answer
    x = 1,243.16

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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.