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Finding the Fourth Proportional to 15,997.92, 22,077 and 8,923.92

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Solution

The fourth proportional to 15,997.92, 22,077 and 8,923.92 is: 12,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.92 : 22,077 = 8,923.92 : x
  2. Step 2: Convert to fraction form
    15,997.92/22,077 = 8,923.92/x
  3. Step 3: Cross multiply
    15,997.92x = 22,077 × 8,923.92
  4. Step 4: Simplify right side
    15,997.92x = 197,013,381.84
  5. Step 5: Solve for x
    x = 197,013,381.84/15,997.92
  6. Step 6: Final answer
    x = 12,314.94

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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.