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Finding the Fourth Proportional to 1,869.12, 2,802.48 and 829.44

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Solution

The fourth proportional to 1,869.12, 2,802.48 and 829.44 is: 1,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.12 : 2,802.48 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,869.12/2,802.48 = 829.44/x
  3. Step 3: Cross multiply
    1,869.12x = 2,802.48 × 829.44
  4. Step 4: Simplify right side
    1,869.12x = 2,324,489.01
  5. Step 5: Solve for x
    x = 2,324,489.01/1,869.12
  6. Step 6: Final answer
    x = 1,243.63

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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.