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Finding the Fourth Proportional to 26,715, 40,078.98 and 8,247

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Solution

The fourth proportional to 26,715, 40,078.98 and 8,247 is: 12,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,715 : 40,078.98 = 8,247 : x
  2. Step 2: Convert to fraction form
    26,715/40,078.98 = 8,247/x
  3. Step 3: Cross multiply
    26,715x = 40,078.98 × 8,247
  4. Step 4: Simplify right side
    26,715x = 330,531,348.06
  5. Step 5: Solve for x
    x = 330,531,348.06/26,715
  6. Step 6: Final answer
    x = 12,372.50

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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.