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Finding the Fourth Proportional to 2,242.42, 3,365.25 and 1,011.22

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Solution

The fourth proportional to 2,242.42, 3,365.25 and 1,011.22 is: 1,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.42 : 3,365.25 = 1,011.22 : x
  2. Step 2: Convert to fraction form
    2,242.42/3,365.25 = 1,011.22/x
  3. Step 3: Cross multiply
    2,242.42x = 3,365.25 × 1,011.22
  4. Step 4: Simplify right side
    2,242.42x = 3,403,008.11
  5. Step 5: Solve for x
    x = 3,403,008.11/2,242.42
  6. Step 6: Final answer
    x = 1,517.56

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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.