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Finding the Fourth Proportional to 26,927.88, 40,393.80 and 8,209.53

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Solution

The fourth proportional to 26,927.88, 40,393.80 and 8,209.53 is: 12,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927.88 : 40,393.80 = 8,209.53 : x
  2. Step 2: Convert to fraction form
    26,927.88/40,393.80 = 8,209.53/x
  3. Step 3: Cross multiply
    26,927.88x = 40,393.80 × 8,209.53
  4. Step 4: Simplify right side
    26,927.88x = 331,614,112.91
  5. Step 5: Solve for x
    x = 331,614,112.91/26,927.88
  6. Step 6: Final answer
    x = 12,314.90

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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.