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Finding the Fourth Proportional to 2,798.26, 4,193.11 and 1,407.71

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Solution

The fourth proportional to 2,798.26, 4,193.11 and 1,407.71 is: 2,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.26 : 4,193.11 = 1,407.71 : x
  2. Step 2: Convert to fraction form
    2,798.26/4,193.11 = 1,407.71/x
  3. Step 3: Cross multiply
    2,798.26x = 4,193.11 × 1,407.71
  4. Step 4: Simplify right side
    2,798.26x = 5,902,695.12
  5. Step 5: Solve for x
    x = 5,902,695.12/2,798.26
  6. Step 6: Final answer
    x = 2,109.42

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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.