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Finding the Fourth Proportional to 2,276.03, 3,415.15 and 815.29

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Solution

The fourth proportional to 2,276.03, 3,415.15 and 815.29 is: 1,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.03 : 3,415.15 = 815.29 : x
  2. Step 2: Convert to fraction form
    2,276.03/3,415.15 = 815.29/x
  3. Step 3: Cross multiply
    2,276.03x = 3,415.15 × 815.29
  4. Step 4: Simplify right side
    2,276.03x = 2,784,339.68
  5. Step 5: Solve for x
    x = 2,784,339.68/2,276.03
  6. Step 6: Final answer
    x = 1,223.33

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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.