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Finding the Fourth Proportional to 2,111.76, 3,168.36 and 813.42

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Solution

The fourth proportional to 2,111.76, 3,168.36 and 813.42 is: 1,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 3,168.36 = 813.42 : x
  2. Step 2: Convert to fraction form
    2,111.76/3,168.36 = 813.42/x
  3. Step 3: Cross multiply
    2,111.76x = 3,168.36 × 813.42
  4. Step 4: Simplify right side
    2,111.76x = 2,577,207.39
  5. Step 5: Solve for x
    x = 2,577,207.39/2,111.76
  6. Step 6: Final answer
    x = 1,220.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.