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Finding the Fourth Proportional to 3,907.71, 5,861.37 and 1,442.37

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Solution

The fourth proportional to 3,907.71, 5,861.37 and 1,442.37 is: 2,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.71 : 5,861.37 = 1,442.37 : x
  2. Step 2: Convert to fraction form
    3,907.71/5,861.37 = 1,442.37/x
  3. Step 3: Cross multiply
    3,907.71x = 5,861.37 × 1,442.37
  4. Step 4: Simplify right side
    3,907.71x = 8,454,264.25
  5. Step 5: Solve for x
    x = 8,454,264.25/3,907.71
  6. Step 6: Final answer
    x = 2,163.48

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1.5x scale

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.