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Finding the Fourth Proportional to 2,122.76, 3,184.56 and 736.15

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Solution

The fourth proportional to 2,122.76, 3,184.56 and 736.15 is: 1,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.76 : 3,184.56 = 736.15 : x
  2. Step 2: Convert to fraction form
    2,122.76/3,184.56 = 736.15/x
  3. Step 3: Cross multiply
    2,122.76x = 3,184.56 × 736.15
  4. Step 4: Simplify right side
    2,122.76x = 2,344,308.07
  5. Step 5: Solve for x
    x = 2,344,308.07/2,122.76
  6. Step 6: Final answer
    x = 1,104.37

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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.