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Finding the Fourth Proportional to 3,967.84, 5,939.42 and 2,929

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Solution

The fourth proportional to 3,967.84, 5,939.42 and 2,929 is: 4,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.84 : 5,939.42 = 2,929 : x
  2. Step 2: Convert to fraction form
    3,967.84/5,939.42 = 2,929/x
  3. Step 3: Cross multiply
    3,967.84x = 5,939.42 × 2,929
  4. Step 4: Simplify right side
    3,967.84x = 17,396,561.18
  5. Step 5: Solve for x
    x = 17,396,561.18/3,967.84
  6. Step 6: Final answer
    x = 4,384.39

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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.