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Finding the Fourth Proportional to 26,175.75, 39,263 and 8,406.45

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Solution

The fourth proportional to 26,175.75, 39,263 and 8,406.45 is: 12,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,175.75 : 39,263 = 8,406.45 : x
  2. Step 2: Convert to fraction form
    26,175.75/39,263 = 8,406.45/x
  3. Step 3: Cross multiply
    26,175.75x = 39,263 × 8,406.45
  4. Step 4: Simplify right side
    26,175.75x = 330,062,446.35
  5. Step 5: Solve for x
    x = 330,062,446.35/26,175.75
  6. Step 6: Final answer
    x = 12,609.47

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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.