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Finding the Fourth Proportional to 3,162.79, 4,743.10 and 1,214.47

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Solution

The fourth proportional to 3,162.79, 4,743.10 and 1,214.47 is: 1,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.79 : 4,743.10 = 1,214.47 : x
  2. Step 2: Convert to fraction form
    3,162.79/4,743.10 = 1,214.47/x
  3. Step 3: Cross multiply
    3,162.79x = 4,743.10 × 1,214.47
  4. Step 4: Simplify right side
    3,162.79x = 5,760,352.66
  5. Step 5: Solve for x
    x = 5,760,352.66/3,162.79
  6. Step 6: Final answer
    x = 1,821.29

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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.