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Finding the Fourth Proportional to 11,414.99, 15,772.80 and 8,785.12

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Solution

The fourth proportional to 11,414.99, 15,772.80 and 8,785.12 is: 12,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.99 : 15,772.80 = 8,785.12 : x
  2. Step 2: Convert to fraction form
    11,414.99/15,772.80 = 8,785.12/x
  3. Step 3: Cross multiply
    11,414.99x = 15,772.80 × 8,785.12
  4. Step 4: Simplify right side
    11,414.99x = 138,565,940.74
  5. Step 5: Solve for x
    x = 138,565,940.74/11,414.99
  6. Step 6: Final answer
    x = 12,138.95

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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.