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Finding the Fourth Proportional to 6,686.32, 10,028.32 and 1,942.08

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Solution

The fourth proportional to 6,686.32, 10,028.32 and 1,942.08 is: 2,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.32 : 10,028.32 = 1,942.08 : x
  2. Step 2: Convert to fraction form
    6,686.32/10,028.32 = 1,942.08/x
  3. Step 3: Cross multiply
    6,686.32x = 10,028.32 × 1,942.08
  4. Step 4: Simplify right side
    6,686.32x = 19,475,799.71
  5. Step 5: Solve for x
    x = 19,475,799.71/6,686.32
  6. Step 6: Final answer
    x = 2,912.78

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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.