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Finding the Fourth Proportional to 22,356.50, 30,844.11 and 13,406.90

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Solution

The fourth proportional to 22,356.50, 30,844.11 and 13,406.90 is: 18,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.50 : 30,844.11 = 13,406.90 : x
  2. Step 2: Convert to fraction form
    22,356.50/30,844.11 = 13,406.90/x
  3. Step 3: Cross multiply
    22,356.50x = 30,844.11 × 13,406.90
  4. Step 4: Simplify right side
    22,356.50x = 413,523,898.36
  5. Step 5: Solve for x
    x = 413,523,898.36/22,356.50
  6. Step 6: Final answer
    x = 18,496.81

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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.