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Finding the Fourth Proportional to 11,320.80, 16,981.20 and 9,571.20

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Solution

The fourth proportional to 11,320.80, 16,981.20 and 9,571.20 is: 14,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.80 : 16,981.20 = 9,571.20 : x
  2. Step 2: Convert to fraction form
    11,320.80/16,981.20 = 9,571.20/x
  3. Step 3: Cross multiply
    11,320.80x = 16,981.20 × 9,571.20
  4. Step 4: Simplify right side
    11,320.80x = 162,530,461.44
  5. Step 5: Solve for x
    x = 162,530,461.44/11,320.80
  6. Step 6: Final answer
    x = 14,356.80

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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.