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Finding the Fourth Proportional to 11,139.80, 16,709.70 and 5,307.80

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Solution

The fourth proportional to 11,139.80, 16,709.70 and 5,307.80 is: 7,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.80 : 16,709.70 = 5,307.80 : x
  2. Step 2: Convert to fraction form
    11,139.80/16,709.70 = 5,307.80/x
  3. Step 3: Cross multiply
    11,139.80x = 16,709.70 × 5,307.80
  4. Step 4: Simplify right side
    11,139.80x = 88,691,745.66
  5. Step 5: Solve for x
    x = 88,691,745.66/11,139.80
  6. Step 6: Final answer
    x = 7,961.70

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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.