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Finding the Fourth Proportional to 3,889.41, 5,834.10 and 967.72

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Solution

The fourth proportional to 3,889.41, 5,834.10 and 967.72 is: 1,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.41 : 5,834.10 = 967.72 : x
  2. Step 2: Convert to fraction form
    3,889.41/5,834.10 = 967.72/x
  3. Step 3: Cross multiply
    3,889.41x = 5,834.10 × 967.72
  4. Step 4: Simplify right side
    3,889.41x = 5,645,746.08
  5. Step 5: Solve for x
    x = 5,645,746.08/3,889.41
  6. Step 6: Final answer
    x = 1,451.57

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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.