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Finding the Fourth Proportional to 9,309.33, 13,974.93 and 5,416.47

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Solution

The fourth proportional to 9,309.33, 13,974.93 and 5,416.47 is: 8,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.33 : 13,974.93 = 5,416.47 : x
  2. Step 2: Convert to fraction form
    9,309.33/13,974.93 = 5,416.47/x
  3. Step 3: Cross multiply
    9,309.33x = 13,974.93 × 5,416.47
  4. Step 4: Simplify right side
    9,309.33x = 75,694,789.10
  5. Step 5: Solve for x
    x = 75,694,789.10/9,309.33
  6. Step 6: Final answer
    x = 8,131.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.