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Finding the Fourth Proportional to 8,381.86, 12,573.38 and 2,538.91

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Solution

The fourth proportional to 8,381.86, 12,573.38 and 2,538.91 is: 3,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.86 : 12,573.38 = 2,538.91 : x
  2. Step 2: Convert to fraction form
    8,381.86/12,573.38 = 2,538.91/x
  3. Step 3: Cross multiply
    8,381.86x = 12,573.38 × 2,538.91
  4. Step 4: Simplify right side
    8,381.86x = 31,922,680.22
  5. Step 5: Solve for x
    x = 31,922,680.22/8,381.86
  6. Step 6: Final answer
    x = 3,808.54

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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.