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Finding the Fourth Proportional to 20,456.86, 30,677.72 and 16,082.86

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Solution

The fourth proportional to 20,456.86, 30,677.72 and 16,082.86 is: 24,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.86 : 30,677.72 = 16,082.86 : x
  2. Step 2: Convert to fraction form
    20,456.86/30,677.72 = 16,082.86/x
  3. Step 3: Cross multiply
    20,456.86x = 30,677.72 × 16,082.86
  4. Step 4: Simplify right side
    20,456.86x = 493,385,322.49
  5. Step 5: Solve for x
    x = 493,385,322.49/20,456.86
  6. Step 6: Final answer
    x = 24,118.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.