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Finding the Fourth Proportional to 10,939.42, 16,408.20 and 6,553.66

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Solution

The fourth proportional to 10,939.42, 16,408.20 and 6,553.66 is: 9,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.42 : 16,408.20 = 6,553.66 : x
  2. Step 2: Convert to fraction form
    10,939.42/16,408.20 = 6,553.66/x
  3. Step 3: Cross multiply
    10,939.42x = 16,408.20 × 6,553.66
  4. Step 4: Simplify right side
    10,939.42x = 107,533,764.01
  5. Step 5: Solve for x
    x = 107,533,764.01/10,939.42
  6. Step 6: Final answer
    x = 9,829.93

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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.