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Finding the Fourth Proportional to 2,369.16, 3,270.48 and 1,662.12

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Solution

The fourth proportional to 2,369.16, 3,270.48 and 1,662.12 is: 2,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.16 : 3,270.48 = 1,662.12 : x
  2. Step 2: Convert to fraction form
    2,369.16/3,270.48 = 1,662.12/x
  3. Step 3: Cross multiply
    2,369.16x = 3,270.48 × 1,662.12
  4. Step 4: Simplify right side
    2,369.16x = 5,435,930.22
  5. Step 5: Solve for x
    x = 5,435,930.22/2,369.16
  6. Step 6: Final answer
    x = 2,294.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.