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Finding the Fourth Proportional to 3,953.58, 5,929.86 and 1,761.81

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Solution

The fourth proportional to 3,953.58, 5,929.86 and 1,761.81 is: 2,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.58 : 5,929.86 = 1,761.81 : x
  2. Step 2: Convert to fraction form
    3,953.58/5,929.86 = 1,761.81/x
  3. Step 3: Cross multiply
    3,953.58x = 5,929.86 × 1,761.81
  4. Step 4: Simplify right side
    3,953.58x = 10,447,286.65
  5. Step 5: Solve for x
    x = 10,447,286.65/3,953.58
  6. Step 6: Final answer
    x = 2,642.49

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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.