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Finding the Fourth Proportional to 16,071.75, 22,179.11 and 8,901.90

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Solution

The fourth proportional to 16,071.75, 22,179.11 and 8,901.90 is: 12,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.75 : 22,179.11 = 8,901.90 : x
  2. Step 2: Convert to fraction form
    16,071.75/22,179.11 = 8,901.90/x
  3. Step 3: Cross multiply
    16,071.75x = 22,179.11 × 8,901.90
  4. Step 4: Simplify right side
    16,071.75x = 197,436,219.31
  5. Step 5: Solve for x
    x = 197,436,219.31/16,071.75
  6. Step 6: Final answer
    x = 12,284.67

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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.