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Finding the Fourth Proportional to 8,131.92, 11,230.02 and 6,946.08

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Solution

The fourth proportional to 8,131.92, 11,230.02 and 6,946.08 is: 9,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.92 : 11,230.02 = 6,946.08 : x
  2. Step 2: Convert to fraction form
    8,131.92/11,230.02 = 6,946.08/x
  3. Step 3: Cross multiply
    8,131.92x = 11,230.02 × 6,946.08
  4. Step 4: Simplify right side
    8,131.92x = 78,004,617.32
  5. Step 5: Solve for x
    x = 78,004,617.32/8,131.92
  6. Step 6: Final answer
    x = 9,592.40

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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.