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Finding the Fourth Proportional to 5,207.42, 7,811.11 and 1,311.83

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Solution

The fourth proportional to 5,207.42, 7,811.11 and 1,311.83 is: 1,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.42 : 7,811.11 = 1,311.83 : x
  2. Step 2: Convert to fraction form
    5,207.42/7,811.11 = 1,311.83/x
  3. Step 3: Cross multiply
    5,207.42x = 7,811.11 × 1,311.83
  4. Step 4: Simplify right side
    5,207.42x = 10,246,848.43
  5. Step 5: Solve for x
    x = 10,246,848.43/5,207.42
  6. Step 6: Final answer
    x = 1,967.74

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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.