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Finding the Fourth Proportional to 2,202.55, 3,303.10 and 815.83

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Solution

The fourth proportional to 2,202.55, 3,303.10 and 815.83 is: 1,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.55 : 3,303.10 = 815.83 : x
  2. Step 2: Convert to fraction form
    2,202.55/3,303.10 = 815.83/x
  3. Step 3: Cross multiply
    2,202.55x = 3,303.10 × 815.83
  4. Step 4: Simplify right side
    2,202.55x = 2,694,768.07
  5. Step 5: Solve for x
    x = 2,694,768.07/2,202.55
  6. Step 6: Final answer
    x = 1,223.48

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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.