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Finding the Fourth Proportional to 2,699.52, 3,725.06 and 1,991.74

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Solution

The fourth proportional to 2,699.52, 3,725.06 and 1,991.74 is: 2,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.52 : 3,725.06 = 1,991.74 : x
  2. Step 2: Convert to fraction form
    2,699.52/3,725.06 = 1,991.74/x
  3. Step 3: Cross multiply
    2,699.52x = 3,725.06 × 1,991.74
  4. Step 4: Simplify right side
    2,699.52x = 7,419,351.00
  5. Step 5: Solve for x
    x = 7,419,351.00/2,699.52
  6. Step 6: Final answer
    x = 2,748.40

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