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Finding the Fourth Proportional to 3,889.74, 5,834.55 and 968.07

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Solution

The fourth proportional to 3,889.74, 5,834.55 and 968.07 is: 1,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.74 : 5,834.55 = 968.07 : x
  2. Step 2: Convert to fraction form
    3,889.74/5,834.55 = 968.07/x
  3. Step 3: Cross multiply
    3,889.74x = 5,834.55 × 968.07
  4. Step 4: Simplify right side
    3,889.74x = 5,648,252.82
  5. Step 5: Solve for x
    x = 5,648,252.82/3,889.74
  6. Step 6: Final answer
    x = 1,452.09

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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.