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Finding the Fourth Proportional to 9,911.16, 13,672.26 and 6,724.62

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Solution

The fourth proportional to 9,911.16, 13,672.26 and 6,724.62 is: 9,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.16 : 13,672.26 = 6,724.62 : x
  2. Step 2: Convert to fraction form
    9,911.16/13,672.26 = 6,724.62/x
  3. Step 3: Cross multiply
    9,911.16x = 13,672.26 × 6,724.62
  4. Step 4: Simplify right side
    9,911.16x = 91,940,753.04
  5. Step 5: Solve for x
    x = 91,940,753.04/9,911.16
  6. Step 6: Final answer
    x = 9,276.49

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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.