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Finding the Fourth Proportional to 1,382.72, 1,908 and 941.18

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Solution

The fourth proportional to 1,382.72, 1,908 and 941.18 is: 1,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.72 : 1,908 = 941.18 : x
  2. Step 2: Convert to fraction form
    1,382.72/1,908 = 941.18/x
  3. Step 3: Cross multiply
    1,382.72x = 1,908 × 941.18
  4. Step 4: Simplify right side
    1,382.72x = 1,795,771.44
  5. Step 5: Solve for x
    x = 1,795,771.44/1,382.72
  6. Step 6: Final answer
    x = 1,298.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.