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Finding the Fourth Proportional to 3,889.29, 5,834 and 967.62

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Solution

The fourth proportional to 3,889.29, 5,834 and 967.62 is: 1,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.29 : 5,834 = 967.62 : x
  2. Step 2: Convert to fraction form
    3,889.29/5,834 = 967.62/x
  3. Step 3: Cross multiply
    3,889.29x = 5,834 × 967.62
  4. Step 4: Simplify right side
    3,889.29x = 5,645,095.08
  5. Step 5: Solve for x
    x = 5,645,095.08/3,889.29
  6. Step 6: Final answer
    x = 1,451.45

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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.