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Finding the Fourth Proportional to 3,691.65, 5,537.38 and 918.28

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Solution

The fourth proportional to 3,691.65, 5,537.38 and 918.28 is: 1,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.65 : 5,537.38 = 918.28 : x
  2. Step 2: Convert to fraction form
    3,691.65/5,537.38 = 918.28/x
  3. Step 3: Cross multiply
    3,691.65x = 5,537.38 × 918.28
  4. Step 4: Simplify right side
    3,691.65x = 5,084,865.31
  5. Step 5: Solve for x
    x = 5,084,865.31/3,691.65
  6. Step 6: Final answer
    x = 1,377.40

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1.5x scale

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.