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Finding the Fourth Proportional to 2,698.50, 4,049.43 and 1,159.50

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Solution

The fourth proportional to 2,698.50, 4,049.43 and 1,159.50 is: 1,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.50 : 4,049.43 = 1,159.50 : x
  2. Step 2: Convert to fraction form
    2,698.50/4,049.43 = 1,159.50/x
  3. Step 3: Cross multiply
    2,698.50x = 4,049.43 × 1,159.50
  4. Step 4: Simplify right side
    2,698.50x = 4,695,314.09
  5. Step 5: Solve for x
    x = 4,695,314.09/2,698.50
  6. Step 6: Final answer
    x = 1,739.97

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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.