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Finding the Fourth Proportional to 1,223.01, 1,835.22 and 1,213.11

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Solution

The fourth proportional to 1,223.01, 1,835.22 and 1,213.11 is: 1,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.01 : 1,835.22 = 1,213.11 : x
  2. Step 2: Convert to fraction form
    1,223.01/1,835.22 = 1,213.11/x
  3. Step 3: Cross multiply
    1,223.01x = 1,835.22 × 1,213.11
  4. Step 4: Simplify right side
    1,223.01x = 2,226,323.73
  5. Step 5: Solve for x
    x = 2,226,323.73/1,223.01
  6. Step 6: Final answer
    x = 1,820.36

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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.