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Finding the Fourth Proportional to 10,880, 16,270.16 and 8,108.60

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Solution

The fourth proportional to 10,880, 16,270.16 and 8,108.60 is: 12,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 16,270.16 = 8,108.60 : x
  2. Step 2: Convert to fraction form
    10,880/16,270.16 = 8,108.60/x
  3. Step 3: Cross multiply
    10,880x = 16,270.16 × 8,108.60
  4. Step 4: Simplify right side
    10,880x = 131,928,219.38
  5. Step 5: Solve for x
    x = 131,928,219.38/10,880
  6. Step 6: Final answer
    x = 12,125.76

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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.