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Finding the Fourth Proportional to 2,167.64, 3,249.18 and 1,069.74

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Solution

The fourth proportional to 2,167.64, 3,249.18 and 1,069.74 is: 1,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.64 : 3,249.18 = 1,069.74 : x
  2. Step 2: Convert to fraction form
    2,167.64/3,249.18 = 1,069.74/x
  3. Step 3: Cross multiply
    2,167.64x = 3,249.18 × 1,069.74
  4. Step 4: Simplify right side
    2,167.64x = 3,475,777.81
  5. Step 5: Solve for x
    x = 3,475,777.81/2,167.64
  6. Step 6: Final answer
    x = 1,603.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.