Home / 10,932-16,400.77-3,140.82

Finding the Fourth Proportional to 10,932, 16,400.77 and 3,140.82

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Solution

The fourth proportional to 10,932, 16,400.77 and 3,140.82 is: 4,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932 : 16,400.77 = 3,140.82 : x
  2. Step 2: Convert to fraction form
    10,932/16,400.77 = 3,140.82/x
  3. Step 3: Cross multiply
    10,932x = 16,400.77 × 3,140.82
  4. Step 4: Simplify right side
    10,932x = 51,511,784.43
  5. Step 5: Solve for x
    x = 51,511,784.43/10,932
  6. Step 6: Final answer
    x = 4,712.02

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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.