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Finding the Fourth Proportional to 10,670, 16,010.80 and 5,198

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Solution

The fourth proportional to 10,670, 16,010.80 and 5,198 is: 7,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670 : 16,010.80 = 5,198 : x
  2. Step 2: Convert to fraction form
    10,670/16,010.80 = 5,198/x
  3. Step 3: Cross multiply
    10,670x = 16,010.80 × 5,198
  4. Step 4: Simplify right side
    10,670x = 83,224,138.40
  5. Step 5: Solve for x
    x = 83,224,138.40/10,670
  6. Step 6: Final answer
    x = 7,799.83

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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.