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Finding the Fourth Proportional to 2,813.50, 4,220.81 and 865.63

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Solution

The fourth proportional to 2,813.50, 4,220.81 and 865.63 is: 1,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.50 : 4,220.81 = 865.63 : x
  2. Step 2: Convert to fraction form
    2,813.50/4,220.81 = 865.63/x
  3. Step 3: Cross multiply
    2,813.50x = 4,220.81 × 865.63
  4. Step 4: Simplify right side
    2,813.50x = 3,653,634.33
  5. Step 5: Solve for x
    x = 3,653,634.33/2,813.50
  6. Step 6: Final answer
    x = 1,298.61

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1.5x scale

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.