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Finding the Fourth Proportional to 9,071.62, 12,490.20 and 8,241.16

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Solution

The fourth proportional to 9,071.62, 12,490.20 and 8,241.16 is: 11,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.62 : 12,490.20 = 8,241.16 : x
  2. Step 2: Convert to fraction form
    9,071.62/12,490.20 = 8,241.16/x
  3. Step 3: Cross multiply
    9,071.62x = 12,490.20 × 8,241.16
  4. Step 4: Simplify right side
    9,071.62x = 102,933,736.63
  5. Step 5: Solve for x
    x = 102,933,736.63/9,071.62
  6. Step 6: Final answer
    x = 11,346.79

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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.