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Finding the Fourth Proportional to 9,351.79, 12,906.80 and 6,164.54

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Solution

The fourth proportional to 9,351.79, 12,906.80 and 6,164.54 is: 8,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.79 : 12,906.80 = 6,164.54 : x
  2. Step 2: Convert to fraction form
    9,351.79/12,906.80 = 6,164.54/x
  3. Step 3: Cross multiply
    9,351.79x = 12,906.80 × 6,164.54
  4. Step 4: Simplify right side
    9,351.79x = 79,564,435.75
  5. Step 5: Solve for x
    x = 79,564,435.75/9,351.79
  6. Step 6: Final answer
    x = 8,507.94

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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.