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Finding the Fourth Proportional to 3,383.62, 5,075.66 and 918.24

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Solution

The fourth proportional to 3,383.62, 5,075.66 and 918.24 is: 1,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.62 : 5,075.66 = 918.24 : x
  2. Step 2: Convert to fraction form
    3,383.62/5,075.66 = 918.24/x
  3. Step 3: Cross multiply
    3,383.62x = 5,075.66 × 918.24
  4. Step 4: Simplify right side
    3,383.62x = 4,660,657.30
  5. Step 5: Solve for x
    x = 4,660,657.30/3,383.62
  6. Step 6: Final answer
    x = 1,377.42

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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.