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Finding the Fourth Proportional to 1,896.40, 2,843.88 and 800.47

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Solution

The fourth proportional to 1,896.40, 2,843.88 and 800.47 is: 1,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.40 : 2,843.88 = 800.47 : x
  2. Step 2: Convert to fraction form
    1,896.40/2,843.88 = 800.47/x
  3. Step 3: Cross multiply
    1,896.40x = 2,843.88 × 800.47
  4. Step 4: Simplify right side
    1,896.40x = 2,276,440.62
  5. Step 5: Solve for x
    x = 2,276,440.62/1,896.40
  6. Step 6: Final answer
    x = 1,200.40

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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.