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Finding the Fourth Proportional to 9,982.92, 13,773.60 and 6,448.20

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Solution

The fourth proportional to 9,982.92, 13,773.60 and 6,448.20 is: 8,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.92 : 13,773.60 = 6,448.20 : x
  2. Step 2: Convert to fraction form
    9,982.92/13,773.60 = 6,448.20/x
  3. Step 3: Cross multiply
    9,982.92x = 13,773.60 × 6,448.20
  4. Step 4: Simplify right side
    9,982.92x = 88,814,927.52
  5. Step 5: Solve for x
    x = 88,814,927.52/9,982.92
  6. Step 6: Final answer
    x = 8,896.69

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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.