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Finding the Fourth Proportional to 16,722.40, 23,076.78 and 9,270.40

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Solution

The fourth proportional to 16,722.40, 23,076.78 and 9,270.40 is: 12,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.40 : 23,076.78 = 9,270.40 : x
  2. Step 2: Convert to fraction form
    16,722.40/23,076.78 = 9,270.40/x
  3. Step 3: Cross multiply
    16,722.40x = 23,076.78 × 9,270.40
  4. Step 4: Simplify right side
    16,722.40x = 213,930,981.31
  5. Step 5: Solve for x
    x = 213,930,981.31/16,722.40
  6. Step 6: Final answer
    x = 12,793.08

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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.