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Finding the Fourth Proportional to 10,960.80, 16,441.20 and 10,423.20

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Solution

The fourth proportional to 10,960.80, 16,441.20 and 10,423.20 is: 15,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.80 : 16,441.20 = 10,423.20 : x
  2. Step 2: Convert to fraction form
    10,960.80/16,441.20 = 10,423.20/x
  3. Step 3: Cross multiply
    10,960.80x = 16,441.20 × 10,423.20
  4. Step 4: Simplify right side
    10,960.80x = 171,369,915.84
  5. Step 5: Solve for x
    x = 171,369,915.84/10,960.80
  6. Step 6: Final answer
    x = 15,634.80

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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.