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Finding the Fourth Proportional to 6,926, 10,388.94 and 1,731.90

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Solution

The fourth proportional to 6,926, 10,388.94 and 1,731.90 is: 2,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926 : 10,388.94 = 1,731.90 : x
  2. Step 2: Convert to fraction form
    6,926/10,388.94 = 1,731.90/x
  3. Step 3: Cross multiply
    6,926x = 10,388.94 × 1,731.90
  4. Step 4: Simplify right side
    6,926x = 17,992,605.19
  5. Step 5: Solve for x
    x = 17,992,605.19/6,926
  6. Step 6: Final answer
    x = 2,597.83

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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.