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Finding the Fourth Proportional to 1,896.32, 2,841.72 and 800.08

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Solution

The fourth proportional to 1,896.32, 2,841.72 and 800.08 is: 1,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.32 : 2,841.72 = 800.08 : x
  2. Step 2: Convert to fraction form
    1,896.32/2,841.72 = 800.08/x
  3. Step 3: Cross multiply
    1,896.32x = 2,841.72 × 800.08
  4. Step 4: Simplify right side
    1,896.32x = 2,273,603.34
  5. Step 5: Solve for x
    x = 2,273,603.34/1,896.32
  6. Step 6: Final answer
    x = 1,198.96

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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.