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Finding the Fourth Proportional to 11,224.12, 16,821.18 and 8,614.24

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Solution

The fourth proportional to 11,224.12, 16,821.18 and 8,614.24 is: 12,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.12 : 16,821.18 = 8,614.24 : x
  2. Step 2: Convert to fraction form
    11,224.12/16,821.18 = 8,614.24/x
  3. Step 3: Cross multiply
    11,224.12x = 16,821.18 × 8,614.24
  4. Step 4: Simplify right side
    11,224.12x = 144,901,681.60
  5. Step 5: Solve for x
    x = 144,901,681.60/11,224.12
  6. Step 6: Final answer
    x = 12,909.85

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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.