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Finding the Fourth Proportional to 10,664.37, 15,998.72 and 6,992.37

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Solution

The fourth proportional to 10,664.37, 15,998.72 and 6,992.37 is: 10,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.37 : 15,998.72 = 6,992.37 : x
  2. Step 2: Convert to fraction form
    10,664.37/15,998.72 = 6,992.37/x
  3. Step 3: Cross multiply
    10,664.37x = 15,998.72 × 6,992.37
  4. Step 4: Simplify right side
    10,664.37x = 111,868,934.80
  5. Step 5: Solve for x
    x = 111,868,934.80/10,664.37
  6. Step 6: Final answer
    x = 10,489.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.