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Finding the Fourth Proportional to 9,201.27, 12,705.87 and 6,839.31

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Solution

The fourth proportional to 9,201.27, 12,705.87 and 6,839.31 is: 9,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.27 : 12,705.87 = 6,839.31 : x
  2. Step 2: Convert to fraction form
    9,201.27/12,705.87 = 6,839.31/x
  3. Step 3: Cross multiply
    9,201.27x = 12,705.87 × 6,839.31
  4. Step 4: Simplify right side
    9,201.27x = 86,899,383.75
  5. Step 5: Solve for x
    x = 86,899,383.75/9,201.27
  6. Step 6: Final answer
    x = 9,444.28

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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.