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Finding the Fourth Proportional to 2,695.98, 4,043.97 and 1,213.47

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Solution

The fourth proportional to 2,695.98, 4,043.97 and 1,213.47 is: 1,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.98 : 4,043.97 = 1,213.47 : x
  2. Step 2: Convert to fraction form
    2,695.98/4,043.97 = 1,213.47/x
  3. Step 3: Cross multiply
    2,695.98x = 4,043.97 × 1,213.47
  4. Step 4: Simplify right side
    2,695.98x = 4,907,236.28
  5. Step 5: Solve for x
    x = 4,907,236.28/2,695.98
  6. Step 6: Final answer
    x = 1,820.21

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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.