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Finding the Fourth Proportional to 8,131.77, 11,224.98 and 6,993

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Solution

The fourth proportional to 8,131.77, 11,224.98 and 6,993 is: 9,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.77 : 11,224.98 = 6,993 : x
  2. Step 2: Convert to fraction form
    8,131.77/11,224.98 = 6,993/x
  3. Step 3: Cross multiply
    8,131.77x = 11,224.98 × 6,993
  4. Step 4: Simplify right side
    8,131.77x = 78,496,285.14
  5. Step 5: Solve for x
    x = 78,496,285.14/8,131.77
  6. Step 6: Final answer
    x = 9,653.04

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Half scale
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Double scale
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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.