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Finding the Fourth Proportional to 5,472.08, 8,208.16 and 2,186

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Solution

The fourth proportional to 5,472.08, 8,208.16 and 2,186 is: 3,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.08 : 8,208.16 = 2,186 : x
  2. Step 2: Convert to fraction form
    5,472.08/8,208.16 = 2,186/x
  3. Step 3: Cross multiply
    5,472.08x = 8,208.16 × 2,186
  4. Step 4: Simplify right side
    5,472.08x = 17,943,037.76
  5. Step 5: Solve for x
    x = 17,943,037.76/5,472.08
  6. Step 6: Final answer
    x = 3,279.02

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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.