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Finding the Fourth Proportional to 2,141.89, 3,213.30 and 661.12

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Solution

The fourth proportional to 2,141.89, 3,213.30 and 661.12 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.89 : 3,213.30 = 661.12 : x
  2. Step 2: Convert to fraction form
    2,141.89/3,213.30 = 661.12/x
  3. Step 3: Cross multiply
    2,141.89x = 3,213.30 × 661.12
  4. Step 4: Simplify right side
    2,141.89x = 2,124,376.90
  5. Step 5: Solve for x
    x = 2,124,376.90/2,141.89
  6. Step 6: Final answer
    x = 991.82

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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.