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Finding the Fourth Proportional to 21,982.08, 32,960.82 and 9,494.31

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Solution

The fourth proportional to 21,982.08, 32,960.82 and 9,494.31 is: 14,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.08 : 32,960.82 = 9,494.31 : x
  2. Step 2: Convert to fraction form
    21,982.08/32,960.82 = 9,494.31/x
  3. Step 3: Cross multiply
    21,982.08x = 32,960.82 × 9,494.31
  4. Step 4: Simplify right side
    21,982.08x = 312,940,402.14
  5. Step 5: Solve for x
    x = 312,940,402.14/21,982.08
  6. Step 6: Final answer
    x = 14,236.16

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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.