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Finding the Fourth Proportional to 10,997.92, 16,497.08 and 3,978.48

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Solution

The fourth proportional to 10,997.92, 16,497.08 and 3,978.48 is: 5,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.92 : 16,497.08 = 3,978.48 : x
  2. Step 2: Convert to fraction form
    10,997.92/16,497.08 = 3,978.48/x
  3. Step 3: Cross multiply
    10,997.92x = 16,497.08 × 3,978.48
  4. Step 4: Simplify right side
    10,997.92x = 65,633,302.84
  5. Step 5: Solve for x
    x = 65,633,302.84/10,997.92
  6. Step 6: Final answer
    x = 5,967.79

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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.