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Finding the Fourth Proportional to 6,207.72, 9,311.83 and 2,918.51

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Solution

The fourth proportional to 6,207.72, 9,311.83 and 2,918.51 is: 4,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.72 : 9,311.83 = 2,918.51 : x
  2. Step 2: Convert to fraction form
    6,207.72/9,311.83 = 2,918.51/x
  3. Step 3: Cross multiply
    6,207.72x = 9,311.83 × 2,918.51
  4. Step 4: Simplify right side
    6,207.72x = 27,176,650.04
  5. Step 5: Solve for x
    x = 27,176,650.04/6,207.72
  6. Step 6: Final answer
    x = 4,377.88

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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.