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Finding the Fourth Proportional to 16,000.78, 22,069.20 and 11,750.50

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Solution

The fourth proportional to 16,000.78, 22,069.20 and 11,750.50 is: 16,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.78 : 22,069.20 = 11,750.50 : x
  2. Step 2: Convert to fraction form
    16,000.78/22,069.20 = 11,750.50/x
  3. Step 3: Cross multiply
    16,000.78x = 22,069.20 × 11,750.50
  4. Step 4: Simplify right side
    16,000.78x = 259,324,134.60
  5. Step 5: Solve for x
    x = 259,324,134.60/16,000.78
  6. Step 6: Final answer
    x = 16,206.97

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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.