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Finding the Fourth Proportional to 6,469.78, 9,707.79 and 2,773.06

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Solution

The fourth proportional to 6,469.78, 9,707.79 and 2,773.06 is: 4,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.78 : 9,707.79 = 2,773.06 : x
  2. Step 2: Convert to fraction form
    6,469.78/9,707.79 = 2,773.06/x
  3. Step 3: Cross multiply
    6,469.78x = 9,707.79 × 2,773.06
  4. Step 4: Simplify right side
    6,469.78x = 26,920,284.14
  5. Step 5: Solve for x
    x = 26,920,284.14/6,469.78
  6. Step 6: Final answer
    x = 4,160.93

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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.