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Finding the Fourth Proportional to 2,191.59, 3,024.41 and 1,196.87

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Solution

The fourth proportional to 2,191.59, 3,024.41 and 1,196.87 is: 1,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.59 : 3,024.41 = 1,196.87 : x
  2. Step 2: Convert to fraction form
    2,191.59/3,024.41 = 1,196.87/x
  3. Step 3: Cross multiply
    2,191.59x = 3,024.41 × 1,196.87
  4. Step 4: Simplify right side
    2,191.59x = 3,619,804.49
  5. Step 5: Solve for x
    x = 3,619,804.49/2,191.59
  6. Step 6: Final answer
    x = 1,651.68

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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.