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Finding the Fourth Proportional to 3,154.36, 4,352.86 and 1,828.49

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Solution

The fourth proportional to 3,154.36, 4,352.86 and 1,828.49 is: 2,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.36 : 4,352.86 = 1,828.49 : x
  2. Step 2: Convert to fraction form
    3,154.36/4,352.86 = 1,828.49/x
  3. Step 3: Cross multiply
    3,154.36x = 4,352.86 × 1,828.49
  4. Step 4: Simplify right side
    3,154.36x = 7,959,167.29
  5. Step 5: Solve for x
    x = 7,959,167.29/3,154.36
  6. Step 6: Final answer
    x = 2,523.23

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Why These Related Problems?

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