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Finding the Fourth Proportional to 31,781.53, 47,672.59 and 8,089.11

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Solution

The fourth proportional to 31,781.53, 47,672.59 and 8,089.11 is: 12,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.53 : 47,672.59 = 8,089.11 : x
  2. Step 2: Convert to fraction form
    31,781.53/47,672.59 = 8,089.11/x
  3. Step 3: Cross multiply
    31,781.53x = 47,672.59 × 8,089.11
  4. Step 4: Simplify right side
    31,781.53x = 385,628,608.05
  5. Step 5: Solve for x
    x = 385,628,608.05/31,781.53
  6. Step 6: Final answer
    x = 12,133.73

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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.