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Finding the Fourth Proportional to 1,896.65, 2,845.36 and 801.01

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Solution

The fourth proportional to 1,896.65, 2,845.36 and 801.01 is: 1,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.65 : 2,845.36 = 801.01 : x
  2. Step 2: Convert to fraction form
    1,896.65/2,845.36 = 801.01/x
  3. Step 3: Cross multiply
    1,896.65x = 2,845.36 × 801.01
  4. Step 4: Simplify right side
    1,896.65x = 2,279,161.81
  5. Step 5: Solve for x
    x = 2,279,161.81/1,896.65
  6. Step 6: Final answer
    x = 1,201.68

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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.