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Finding the Fourth Proportional to 6,390.70, 9,589.65 and 2,494.60

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Solution

The fourth proportional to 6,390.70, 9,589.65 and 2,494.60 is: 3,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.70 : 9,589.65 = 2,494.60 : x
  2. Step 2: Convert to fraction form
    6,390.70/9,589.65 = 2,494.60/x
  3. Step 3: Cross multiply
    6,390.70x = 9,589.65 × 2,494.60
  4. Step 4: Simplify right side
    6,390.70x = 23,922,340.89
  5. Step 5: Solve for x
    x = 23,922,340.89/6,390.70
  6. Step 6: Final answer
    x = 3,743.31

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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.