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Finding the Fourth Proportional to 2,813.64, 4,220.94 and 865.48

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Solution

The fourth proportional to 2,813.64, 4,220.94 and 865.48 is: 1,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.64 : 4,220.94 = 865.48 : x
  2. Step 2: Convert to fraction form
    2,813.64/4,220.94 = 865.48/x
  3. Step 3: Cross multiply
    2,813.64x = 4,220.94 × 865.48
  4. Step 4: Simplify right side
    2,813.64x = 3,653,139.15
  5. Step 5: Solve for x
    x = 3,653,139.15/2,813.64
  6. Step 6: Final answer
    x = 1,298.37

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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.