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Finding the Fourth Proportional to 5,555.17, 7,667.40 and 3,198.70

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Solution

The fourth proportional to 5,555.17, 7,667.40 and 3,198.70 is: 4,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.17 : 7,667.40 = 3,198.70 : x
  2. Step 2: Convert to fraction form
    5,555.17/7,667.40 = 3,198.70/x
  3. Step 3: Cross multiply
    5,555.17x = 7,667.40 × 3,198.70
  4. Step 4: Simplify right side
    5,555.17x = 24,525,712.38
  5. Step 5: Solve for x
    x = 24,525,712.38/5,555.17
  6. Step 6: Final answer
    x = 4,414.93

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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.