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Finding the Fourth Proportional to 2,165.74, 3,245.87 and 1,069.81

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Solution

The fourth proportional to 2,165.74, 3,245.87 and 1,069.81 is: 1,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 3,245.87 = 1,069.81 : x
  2. Step 2: Convert to fraction form
    2,165.74/3,245.87 = 1,069.81/x
  3. Step 3: Cross multiply
    2,165.74x = 3,245.87 × 1,069.81
  4. Step 4: Simplify right side
    2,165.74x = 3,472,458.74
  5. Step 5: Solve for x
    x = 3,472,458.74/2,165.74
  6. Step 6: Final answer
    x = 1,603.36

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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.