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Finding the Fourth Proportional to 1,936.17, 2,905.37 and 840.65

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Solution

The fourth proportional to 1,936.17, 2,905.37 and 840.65 is: 1,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.17 : 2,905.37 = 840.65 : x
  2. Step 2: Convert to fraction form
    1,936.17/2,905.37 = 840.65/x
  3. Step 3: Cross multiply
    1,936.17x = 2,905.37 × 840.65
  4. Step 4: Simplify right side
    1,936.17x = 2,442,399.29
  5. Step 5: Solve for x
    x = 2,442,399.29/1,936.17
  6. Step 6: Final answer
    x = 1,261.46

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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.