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Finding the Fourth Proportional to 26,861.14, 40,299 and 8,140.42

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Solution

The fourth proportional to 26,861.14, 40,299 and 8,140.42 is: 12,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,861.14 : 40,299 = 8,140.42 : x
  2. Step 2: Convert to fraction form
    26,861.14/40,299 = 8,140.42/x
  3. Step 3: Cross multiply
    26,861.14x = 40,299 × 8,140.42
  4. Step 4: Simplify right side
    26,861.14x = 328,050,785.58
  5. Step 5: Solve for x
    x = 328,050,785.58/26,861.14
  6. Step 6: Final answer
    x = 12,212.84

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1.5x scale

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.