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Finding the Fourth Proportional to 5,207.61, 7,811.45 and 2,129.61

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Solution

The fourth proportional to 5,207.61, 7,811.45 and 2,129.61 is: 3,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.61 : 7,811.45 = 2,129.61 : x
  2. Step 2: Convert to fraction form
    5,207.61/7,811.45 = 2,129.61/x
  3. Step 3: Cross multiply
    5,207.61x = 7,811.45 × 2,129.61
  4. Step 4: Simplify right side
    5,207.61x = 16,635,331.39
  5. Step 5: Solve for x
    x = 16,635,331.39/5,207.61
  6. Step 6: Final answer
    x = 3,194.43

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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.