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Finding the Fourth Proportional to 3,973.32, 5,957.96 and 1,891.62

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Solution

The fourth proportional to 3,973.32, 5,957.96 and 1,891.62 is: 2,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.32 : 5,957.96 = 1,891.62 : x
  2. Step 2: Convert to fraction form
    3,973.32/5,957.96 = 1,891.62/x
  3. Step 3: Cross multiply
    3,973.32x = 5,957.96 × 1,891.62
  4. Step 4: Simplify right side
    3,973.32x = 11,270,186.84
  5. Step 5: Solve for x
    x = 11,270,186.84/3,973.32
  6. Step 6: Final answer
    x = 2,836.47

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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.