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Finding the Fourth Proportional to 11,223.12, 16,819.68 and 8,613.24

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Solution

The fourth proportional to 11,223.12, 16,819.68 and 8,613.24 is: 12,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.12 : 16,819.68 = 8,613.24 : x
  2. Step 2: Convert to fraction form
    11,223.12/16,819.68 = 8,613.24/x
  3. Step 3: Cross multiply
    11,223.12x = 16,819.68 × 8,613.24
  4. Step 4: Simplify right side
    11,223.12x = 144,871,940.56
  5. Step 5: Solve for x
    x = 144,871,940.56/11,223.12
  6. Step 6: Final answer
    x = 12,908.35

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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.