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Finding the Fourth Proportional to 31,179.77, 46,774.28 and 11,456.78

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Solution

The fourth proportional to 31,179.77, 46,774.28 and 11,456.78 is: 17,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.77 : 46,774.28 = 11,456.78 : x
  2. Step 2: Convert to fraction form
    31,179.77/46,774.28 = 11,456.78/x
  3. Step 3: Cross multiply
    31,179.77x = 46,774.28 × 11,456.78
  4. Step 4: Simplify right side
    31,179.77x = 535,882,738.23
  5. Step 5: Solve for x
    x = 535,882,738.23/31,179.77
  6. Step 6: Final answer
    x = 17,186.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.