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Finding the Fourth Proportional to 3,889.95, 5,834.94 and 1,292.28

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Solution

The fourth proportional to 3,889.95, 5,834.94 and 1,292.28 is: 1,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.95 : 5,834.94 = 1,292.28 : x
  2. Step 2: Convert to fraction form
    3,889.95/5,834.94 = 1,292.28/x
  3. Step 3: Cross multiply
    3,889.95x = 5,834.94 × 1,292.28
  4. Step 4: Simplify right side
    3,889.95x = 7,540,376.26
  5. Step 5: Solve for x
    x = 7,540,376.26/3,889.95
  6. Step 6: Final answer
    x = 1,938.42

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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.