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Finding the Fourth Proportional to 3,889.49, 5,835.15 and 1,292.43

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Solution

The fourth proportional to 3,889.49, 5,835.15 and 1,292.43 is: 1,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.49 : 5,835.15 = 1,292.43 : x
  2. Step 2: Convert to fraction form
    3,889.49/5,835.15 = 1,292.43/x
  3. Step 3: Cross multiply
    3,889.49x = 5,835.15 × 1,292.43
  4. Step 4: Simplify right side
    3,889.49x = 7,541,522.91
  5. Step 5: Solve for x
    x = 7,541,522.91/3,889.49
  6. Step 6: Final answer
    x = 1,938.95

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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.