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Finding the Fourth Proportional to 6,981.08, 9,622.68 and 6,408.82

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Solution

The fourth proportional to 6,981.08, 9,622.68 and 6,408.82 is: 8,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.08 : 9,622.68 = 6,408.82 : x
  2. Step 2: Convert to fraction form
    6,981.08/9,622.68 = 6,408.82/x
  3. Step 3: Cross multiply
    6,981.08x = 9,622.68 × 6,408.82
  4. Step 4: Simplify right side
    6,981.08x = 61,669,975.92
  5. Step 5: Solve for x
    x = 61,669,975.92/6,981.08
  6. Step 6: Final answer
    x = 8,833.87

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1.5x scale

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.