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Finding the Fourth Proportional to 6,647.13, 9,971.78 and 3,184.38

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Solution

The fourth proportional to 6,647.13, 9,971.78 and 3,184.38 is: 4,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.13 : 9,971.78 = 3,184.38 : x
  2. Step 2: Convert to fraction form
    6,647.13/9,971.78 = 3,184.38/x
  3. Step 3: Cross multiply
    6,647.13x = 9,971.78 × 3,184.38
  4. Step 4: Simplify right side
    6,647.13x = 31,753,920.87
  5. Step 5: Solve for x
    x = 31,753,920.87/6,647.13
  6. Step 6: Final answer
    x = 4,777.09

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1.5x scale

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.