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Finding the Fourth Proportional to 5,286.83, 7,931.33 and 1,999.86

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Solution

The fourth proportional to 5,286.83, 7,931.33 and 1,999.86 is: 3,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.83 : 7,931.33 = 1,999.86 : x
  2. Step 2: Convert to fraction form
    5,286.83/7,931.33 = 1,999.86/x
  3. Step 3: Cross multiply
    5,286.83x = 7,931.33 × 1,999.86
  4. Step 4: Simplify right side
    5,286.83x = 15,861,539.61
  5. Step 5: Solve for x
    x = 15,861,539.61/5,286.83
  6. Step 6: Final answer
    x = 3,000.20

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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.