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Finding the Fourth Proportional to 2,242.53, 3,364.20 and 1,010.52

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Solution

The fourth proportional to 2,242.53, 3,364.20 and 1,010.52 is: 1,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.53 : 3,364.20 = 1,010.52 : x
  2. Step 2: Convert to fraction form
    2,242.53/3,364.20 = 1,010.52/x
  3. Step 3: Cross multiply
    2,242.53x = 3,364.20 × 1,010.52
  4. Step 4: Simplify right side
    2,242.53x = 3,399,591.38
  5. Step 5: Solve for x
    x = 3,399,591.38/2,242.53
  6. Step 6: Final answer
    x = 1,515.96

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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.