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Finding the Fourth Proportional to 6,940, 9,577.20 and 3,796.19

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Solution

The fourth proportional to 6,940, 9,577.20 and 3,796.19 is: 5,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 9,577.20 = 3,796.19 : x
  2. Step 2: Convert to fraction form
    6,940/9,577.20 = 3,796.19/x
  3. Step 3: Cross multiply
    6,940x = 9,577.20 × 3,796.19
  4. Step 4: Simplify right side
    6,940x = 36,356,870.87
  5. Step 5: Solve for x
    x = 36,356,870.87/6,940
  6. Step 6: Final answer
    x = 5,238.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.