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Finding the Fourth Proportional to 1,936.72, 2,905 and 638.16

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Solution

The fourth proportional to 1,936.72, 2,905 and 638.16 is: 957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.72 : 2,905 = 638.16 : x
  2. Step 2: Convert to fraction form
    1,936.72/2,905 = 638.16/x
  3. Step 3: Cross multiply
    1,936.72x = 2,905 × 638.16
  4. Step 4: Simplify right side
    1,936.72x = 1,853,854.80
  5. Step 5: Solve for x
    x = 1,853,854.80/1,936.72
  6. Step 6: Final answer
    x = 957.21

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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.