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Finding the Fourth Proportional to 16,400.80, 22,632.78 and 8,948.80

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Solution

The fourth proportional to 16,400.80, 22,632.78 and 8,948.80 is: 12,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.80 : 22,632.78 = 8,948.80 : x
  2. Step 2: Convert to fraction form
    16,400.80/22,632.78 = 8,948.80/x
  3. Step 3: Cross multiply
    16,400.80x = 22,632.78 × 8,948.80
  4. Step 4: Simplify right side
    16,400.80x = 202,536,221.66
  5. Step 5: Solve for x
    x = 202,536,221.66/16,400.80
  6. Step 6: Final answer
    x = 12,349.17

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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.