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Finding the Fourth Proportional to 2,866.71, 4,301.99 and 1,223.64

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Solution

The fourth proportional to 2,866.71, 4,301.99 and 1,223.64 is: 1,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.71 : 4,301.99 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    2,866.71/4,301.99 = 1,223.64/x
  3. Step 3: Cross multiply
    2,866.71x = 4,301.99 × 1,223.64
  4. Step 4: Simplify right side
    2,866.71x = 5,264,087.04
  5. Step 5: Solve for x
    x = 5,264,087.04/2,866.71
  6. Step 6: Final answer
    x = 1,836.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.