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Finding the Fourth Proportional to 10,939, 16,408.50 and 4,694.98

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Solution

The fourth proportional to 10,939, 16,408.50 and 4,694.98 is: 7,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939 : 16,408.50 = 4,694.98 : x
  2. Step 2: Convert to fraction form
    10,939/16,408.50 = 4,694.98/x
  3. Step 3: Cross multiply
    10,939x = 16,408.50 × 4,694.98
  4. Step 4: Simplify right side
    10,939x = 77,037,579.33
  5. Step 5: Solve for x
    x = 77,037,579.33/10,939
  6. Step 6: Final answer
    x = 7,042.47

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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.