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Finding the Fourth Proportional to 5,207.70, 7,186.50 and 2,849.88

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Solution

The fourth proportional to 5,207.70, 7,186.50 and 2,849.88 is: 3,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.70 : 7,186.50 = 2,849.88 : x
  2. Step 2: Convert to fraction form
    5,207.70/7,186.50 = 2,849.88/x
  3. Step 3: Cross multiply
    5,207.70x = 7,186.50 × 2,849.88
  4. Step 4: Simplify right side
    5,207.70x = 20,480,662.62
  5. Step 5: Solve for x
    x = 20,480,662.62/5,207.70
  6. Step 6: Final answer
    x = 3,932.77

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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.