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Finding the Fourth Proportional to 26,814, 40,223.16 and 8,346

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Solution

The fourth proportional to 26,814, 40,223.16 and 8,346 is: 12,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814 : 40,223.16 = 8,346 : x
  2. Step 2: Convert to fraction form
    26,814/40,223.16 = 8,346/x
  3. Step 3: Cross multiply
    26,814x = 40,223.16 × 8,346
  4. Step 4: Simplify right side
    26,814x = 335,702,493.36
  5. Step 5: Solve for x
    x = 335,702,493.36/26,814
  6. Step 6: Final answer
    x = 12,519.67

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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.