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Finding the Fourth Proportional to 11,729.80, 16,187 and 6,424.70

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Solution

The fourth proportional to 11,729.80, 16,187 and 6,424.70 is: 8,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.80 : 16,187 = 6,424.70 : x
  2. Step 2: Convert to fraction form
    11,729.80/16,187 = 6,424.70/x
  3. Step 3: Cross multiply
    11,729.80x = 16,187 × 6,424.70
  4. Step 4: Simplify right side
    11,729.80x = 103,996,618.90
  5. Step 5: Solve for x
    x = 103,996,618.90/11,729.80
  6. Step 6: Final answer
    x = 8,866.02

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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.