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Finding the Fourth Proportional to 10,991.16, 16,472.16 and 9,523.44

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Solution

The fourth proportional to 10,991.16, 16,472.16 and 9,523.44 is: 14,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.16 : 16,472.16 = 9,523.44 : x
  2. Step 2: Convert to fraction form
    10,991.16/16,472.16 = 9,523.44/x
  3. Step 3: Cross multiply
    10,991.16x = 16,472.16 × 9,523.44
  4. Step 4: Simplify right side
    10,991.16x = 156,871,627.43
  5. Step 5: Solve for x
    x = 156,871,627.43/10,991.16
  6. Step 6: Final answer
    x = 14,272.53

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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.