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Finding the Fourth Proportional to 9,906.91, 13,671.17 and 5,927.78

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Solution

The fourth proportional to 9,906.91, 13,671.17 and 5,927.78 is: 8,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.91 : 13,671.17 = 5,927.78 : x
  2. Step 2: Convert to fraction form
    9,906.91/13,671.17 = 5,927.78/x
  3. Step 3: Cross multiply
    9,906.91x = 13,671.17 × 5,927.78
  4. Step 4: Simplify right side
    9,906.91x = 81,039,688.10
  5. Step 5: Solve for x
    x = 81,039,688.10/9,906.91
  6. Step 6: Final answer
    x = 8,180.12

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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.