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Finding the Fourth Proportional to 3,889.37, 5,834.53 and 1,256.31

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Solution

The fourth proportional to 3,889.37, 5,834.53 and 1,256.31 is: 1,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.37 : 5,834.53 = 1,256.31 : x
  2. Step 2: Convert to fraction form
    3,889.37/5,834.53 = 1,256.31/x
  3. Step 3: Cross multiply
    3,889.37x = 5,834.53 × 1,256.31
  4. Step 4: Simplify right side
    3,889.37x = 7,329,979.95
  5. Step 5: Solve for x
    x = 7,329,979.95/3,889.37
  6. Step 6: Final answer
    x = 1,884.62

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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.