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Finding the Fourth Proportional to 16,255.12, 22,431.84 and 8,803.12

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Solution

The fourth proportional to 16,255.12, 22,431.84 and 8,803.12 is: 12,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.12 : 22,431.84 = 8,803.12 : x
  2. Step 2: Convert to fraction form
    16,255.12/22,431.84 = 8,803.12/x
  3. Step 3: Cross multiply
    16,255.12x = 22,431.84 × 8,803.12
  4. Step 4: Simplify right side
    16,255.12x = 197,470,179.34
  5. Step 5: Solve for x
    x = 197,470,179.34/16,255.12
  6. Step 6: Final answer
    x = 12,148.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.