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Finding the Fourth Proportional to 3,891.16, 5,836.74 and 1,293.76

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Solution

The fourth proportional to 3,891.16, 5,836.74 and 1,293.76 is: 1,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.16 : 5,836.74 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    3,891.16/5,836.74 = 1,293.76/x
  3. Step 3: Cross multiply
    3,891.16x = 5,836.74 × 1,293.76
  4. Step 4: Simplify right side
    3,891.16x = 7,551,340.74
  5. Step 5: Solve for x
    x = 7,551,340.74/3,891.16
  6. Step 6: Final answer
    x = 1,940.64

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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.