Home / 10,932-16,400.78-3,140.82

Finding the Fourth Proportional to 10,932, 16,400.78 and 3,140.82

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Solution

The fourth proportional to 10,932, 16,400.78 and 3,140.82 is: 4,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932 : 16,400.78 = 3,140.82 : x
  2. Step 2: Convert to fraction form
    10,932/16,400.78 = 3,140.82/x
  3. Step 3: Cross multiply
    10,932x = 16,400.78 × 3,140.82
  4. Step 4: Simplify right side
    10,932x = 51,511,882.14
  5. Step 5: Solve for x
    x = 51,511,882.14/10,932
  6. Step 6: Final answer
    x = 4,712.03

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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.