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Finding the Fourth Proportional to 26,902.25, 40,359.86 and 8,434.25

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Solution

The fourth proportional to 26,902.25, 40,359.86 and 8,434.25 is: 12,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.25 : 40,359.86 = 8,434.25 : x
  2. Step 2: Convert to fraction form
    26,902.25/40,359.86 = 8,434.25/x
  3. Step 3: Cross multiply
    26,902.25x = 40,359.86 × 8,434.25
  4. Step 4: Simplify right side
    26,902.25x = 340,405,149.21
  5. Step 5: Solve for x
    x = 340,405,149.21/26,902.25
  6. Step 6: Final answer
    x = 12,653.41

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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.