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Finding the Fourth Proportional to 16,381.48, 22,606.41 and 9,211.42

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Solution

The fourth proportional to 16,381.48, 22,606.41 and 9,211.42 is: 12,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.48 : 22,606.41 = 9,211.42 : x
  2. Step 2: Convert to fraction form
    16,381.48/22,606.41 = 9,211.42/x
  3. Step 3: Cross multiply
    16,381.48x = 22,606.41 × 9,211.42
  4. Step 4: Simplify right side
    16,381.48x = 208,237,137.20
  5. Step 5: Solve for x
    x = 208,237,137.20/16,381.48
  6. Step 6: Final answer
    x = 12,711.74

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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.