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Finding the Fourth Proportional to 2,243.79, 3,360.47 and 2,165.93

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Solution

The fourth proportional to 2,243.79, 3,360.47 and 2,165.93 is: 3,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.79 : 3,360.47 = 2,165.93 : x
  2. Step 2: Convert to fraction form
    2,243.79/3,360.47 = 2,165.93/x
  3. Step 3: Cross multiply
    2,243.79x = 3,360.47 × 2,165.93
  4. Step 4: Simplify right side
    2,243.79x = 7,278,515.16
  5. Step 5: Solve for x
    x = 7,278,515.16/2,243.79
  6. Step 6: Final answer
    x = 3,243.85

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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.