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Finding the Fourth Proportional to 7,781.19, 11,672.99 and 6,799.47

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Solution

The fourth proportional to 7,781.19, 11,672.99 and 6,799.47 is: 10,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.19 : 11,672.99 = 6,799.47 : x
  2. Step 2: Convert to fraction form
    7,781.19/11,672.99 = 6,799.47/x
  3. Step 3: Cross multiply
    7,781.19x = 11,672.99 × 6,799.47
  4. Step 4: Simplify right side
    7,781.19x = 79,370,145.32
  5. Step 5: Solve for x
    x = 79,370,145.32/7,781.19
  6. Step 6: Final answer
    x = 10,200.26

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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.