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Finding the Fourth Proportional to 2,653.49, 3,979.86 and 1,469.71

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Solution

The fourth proportional to 2,653.49, 3,979.86 and 1,469.71 is: 2,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.49 : 3,979.86 = 1,469.71 : x
  2. Step 2: Convert to fraction form
    2,653.49/3,979.86 = 1,469.71/x
  3. Step 3: Cross multiply
    2,653.49x = 3,979.86 × 1,469.71
  4. Step 4: Simplify right side
    2,653.49x = 5,849,240.04
  5. Step 5: Solve for x
    x = 5,849,240.04/2,653.49
  6. Step 6: Final answer
    x = 2,204.36

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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.