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Finding the Fourth Proportional to 16,409.12, 22,644.80 and 8,957.12

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Solution

The fourth proportional to 16,409.12, 22,644.80 and 8,957.12 is: 12,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.12 : 22,644.80 = 8,957.12 : x
  2. Step 2: Convert to fraction form
    16,409.12/22,644.80 = 8,957.12/x
  3. Step 3: Cross multiply
    16,409.12x = 22,644.80 × 8,957.12
  4. Step 4: Simplify right side
    16,409.12x = 202,832,190.98
  5. Step 5: Solve for x
    x = 202,832,190.98/16,409.12
  6. Step 6: Final answer
    x = 12,360.94

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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.