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Finding the Fourth Proportional to 10,816.40, 16,234.20 and 9,261.20

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Solution

The fourth proportional to 10,816.40, 16,234.20 and 9,261.20 is: 13,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.40 : 16,234.20 = 9,261.20 : x
  2. Step 2: Convert to fraction form
    10,816.40/16,234.20 = 9,261.20/x
  3. Step 3: Cross multiply
    10,816.40x = 16,234.20 × 9,261.20
  4. Step 4: Simplify right side
    10,816.40x = 150,348,173.04
  5. Step 5: Solve for x
    x = 150,348,173.04/10,816.40
  6. Step 6: Final answer
    x = 13,900.02

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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.