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Finding the Fourth Proportional to 8,231.72, 12,347.60 and 1,991.71

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Solution

The fourth proportional to 8,231.72, 12,347.60 and 1,991.71 is: 2,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.72 : 12,347.60 = 1,991.71 : x
  2. Step 2: Convert to fraction form
    8,231.72/12,347.60 = 1,991.71/x
  3. Step 3: Cross multiply
    8,231.72x = 12,347.60 × 1,991.71
  4. Step 4: Simplify right side
    8,231.72x = 24,592,838.40
  5. Step 5: Solve for x
    x = 24,592,838.40/8,231.72
  6. Step 6: Final answer
    x = 2,987.57

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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.