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Finding the Fourth Proportional to 2,200.93, 3,303.06 and 815.11

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Solution

The fourth proportional to 2,200.93, 3,303.06 and 815.11 is: 1,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.93 : 3,303.06 = 815.11 : x
  2. Step 2: Convert to fraction form
    2,200.93/3,303.06 = 815.11/x
  3. Step 3: Cross multiply
    2,200.93x = 3,303.06 × 815.11
  4. Step 4: Simplify right side
    2,200.93x = 2,692,357.24
  5. Step 5: Solve for x
    x = 2,692,357.24/2,200.93
  6. Step 6: Final answer
    x = 1,223.28

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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.