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Finding the Fourth Proportional to 3,488.08, 5,232.12 and 855.58

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Solution

The fourth proportional to 3,488.08, 5,232.12 and 855.58 is: 1,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.08 : 5,232.12 = 855.58 : x
  2. Step 2: Convert to fraction form
    3,488.08/5,232.12 = 855.58/x
  3. Step 3: Cross multiply
    3,488.08x = 5,232.12 × 855.58
  4. Step 4: Simplify right side
    3,488.08x = 4,476,497.23
  5. Step 5: Solve for x
    x = 4,476,497.23/3,488.08
  6. Step 6: Final answer
    x = 1,283.37

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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.