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Finding the Fourth Proportional to 2,142.80, 3,213.43 and 910.30

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Solution

The fourth proportional to 2,142.80, 3,213.43 and 910.30 is: 1,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,213.43 = 910.30 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,213.43 = 910.30/x
  3. Step 3: Cross multiply
    2,142.80x = 3,213.43 × 910.30
  4. Step 4: Simplify right side
    2,142.80x = 2,925,185.33
  5. Step 5: Solve for x
    x = 2,925,185.33/2,142.80
  6. Step 6: Final answer
    x = 1,365.12

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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.