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Finding the Fourth Proportional to 3,939, 5,907.60 and 1,474.08

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Solution

The fourth proportional to 3,939, 5,907.60 and 1,474.08 is: 2,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939 : 5,907.60 = 1,474.08 : x
  2. Step 2: Convert to fraction form
    3,939/5,907.60 = 1,474.08/x
  3. Step 3: Cross multiply
    3,939x = 5,907.60 × 1,474.08
  4. Step 4: Simplify right side
    3,939x = 8,708,275.01
  5. Step 5: Solve for x
    x = 8,708,275.01/3,939
  6. Step 6: Final answer
    x = 2,210.78

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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.