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Finding the Fourth Proportional to 9,906.24, 14,861.84 and 6,990.24

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Solution

The fourth proportional to 9,906.24, 14,861.84 and 6,990.24 is: 10,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.24 : 14,861.84 = 6,990.24 : x
  2. Step 2: Convert to fraction form
    9,906.24/14,861.84 = 6,990.24/x
  3. Step 3: Cross multiply
    9,906.24x = 14,861.84 × 6,990.24
  4. Step 4: Simplify right side
    9,906.24x = 103,887,793.49
  5. Step 5: Solve for x
    x = 103,887,793.49/9,906.24
  6. Step 6: Final answer
    x = 10,487.11

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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.