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Finding the Fourth Proportional to 6,392.80, 9,590.15 and 3,274.57

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Solution

The fourth proportional to 6,392.80, 9,590.15 and 3,274.57 is: 4,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.80 : 9,590.15 = 3,274.57 : x
  2. Step 2: Convert to fraction form
    6,392.80/9,590.15 = 3,274.57/x
  3. Step 3: Cross multiply
    6,392.80x = 9,590.15 × 3,274.57
  4. Step 4: Simplify right side
    6,392.80x = 31,403,617.49
  5. Step 5: Solve for x
    x = 31,403,617.49/6,392.80
  6. Step 6: Final answer
    x = 4,912.34

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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.