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Finding the Fourth Proportional to 7,843.61, 11,777.09 and 3,172.74

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Solution

The fourth proportional to 7,843.61, 11,777.09 and 3,172.74 is: 4,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.61 : 11,777.09 = 3,172.74 : x
  2. Step 2: Convert to fraction form
    7,843.61/11,777.09 = 3,172.74/x
  3. Step 3: Cross multiply
    7,843.61x = 11,777.09 × 3,172.74
  4. Step 4: Simplify right side
    7,843.61x = 37,365,644.53
  5. Step 5: Solve for x
    x = 37,365,644.53/7,843.61
  6. Step 6: Final answer
    x = 4,763.83

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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.