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Finding the Fourth Proportional to 11,959.76, 16,512.24 and 11,216.24

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Solution

The fourth proportional to 11,959.76, 16,512.24 and 11,216.24 is: 15,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.76 : 16,512.24 = 11,216.24 : x
  2. Step 2: Convert to fraction form
    11,959.76/16,512.24 = 11,216.24/x
  3. Step 3: Cross multiply
    11,959.76x = 16,512.24 × 11,216.24
  4. Step 4: Simplify right side
    11,959.76x = 185,205,246.78
  5. Step 5: Solve for x
    x = 185,205,246.78/11,959.76
  6. Step 6: Final answer
    x = 15,485.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.