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Finding the Fourth Proportional to 3,917.91, 5,873.28 and 1,695.36

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Solution

The fourth proportional to 3,917.91, 5,873.28 and 1,695.36 is: 2,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.91 : 5,873.28 = 1,695.36 : x
  2. Step 2: Convert to fraction form
    3,917.91/5,873.28 = 1,695.36/x
  3. Step 3: Cross multiply
    3,917.91x = 5,873.28 × 1,695.36
  4. Step 4: Simplify right side
    3,917.91x = 9,957,339.65
  5. Step 5: Solve for x
    x = 9,957,339.65/3,917.91
  6. Step 6: Final answer
    x = 2,541.49

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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.