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Finding the Fourth Proportional to 11,671.70, 16,101.05 and 7,691.36

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Solution

The fourth proportional to 11,671.70, 16,101.05 and 7,691.36 is: 10,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.70 : 16,101.05 = 7,691.36 : x
  2. Step 2: Convert to fraction form
    11,671.70/16,101.05 = 7,691.36/x
  3. Step 3: Cross multiply
    11,671.70x = 16,101.05 × 7,691.36
  4. Step 4: Simplify right side
    11,671.70x = 123,838,852.97
  5. Step 5: Solve for x
    x = 123,838,852.97/11,671.70
  6. Step 6: Final answer
    x = 10,610.19

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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.