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Finding the Fourth Proportional to 26,720, 40,082.16 and 8,252

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Solution

The fourth proportional to 26,720, 40,082.16 and 8,252 is: 12,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 40,082.16 = 8,252 : x
  2. Step 2: Convert to fraction form
    26,720/40,082.16 = 8,252/x
  3. Step 3: Cross multiply
    26,720x = 40,082.16 × 8,252
  4. Step 4: Simplify right side
    26,720x = 330,757,984.32
  5. Step 5: Solve for x
    x = 330,757,984.32/26,720
  6. Step 6: Final answer
    x = 12,378.67

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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.