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Finding the Fourth Proportional to 2,813.82, 4,221 and 865.68

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Solution

The fourth proportional to 2,813.82, 4,221 and 865.68 is: 1,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.82 : 4,221 = 865.68 : x
  2. Step 2: Convert to fraction form
    2,813.82/4,221 = 865.68/x
  3. Step 3: Cross multiply
    2,813.82x = 4,221 × 865.68
  4. Step 4: Simplify right side
    2,813.82x = 3,654,035.28
  5. Step 5: Solve for x
    x = 3,654,035.28/2,813.82
  6. Step 6: Final answer
    x = 1,298.60

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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.