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Finding the Fourth Proportional to 5,191.91, 7,786.70 and 1,493.32

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Solution

The fourth proportional to 5,191.91, 7,786.70 and 1,493.32 is: 2,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.91 : 7,786.70 = 1,493.32 : x
  2. Step 2: Convert to fraction form
    5,191.91/7,786.70 = 1,493.32/x
  3. Step 3: Cross multiply
    5,191.91x = 7,786.70 × 1,493.32
  4. Step 4: Simplify right side
    5,191.91x = 11,628,019.11
  5. Step 5: Solve for x
    x = 11,628,019.11/5,191.91
  6. Step 6: Final answer
    x = 2,239.64

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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.