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Finding the Fourth Proportional to 6,085.60, 8,396.16 and 3,396.39

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Solution

The fourth proportional to 6,085.60, 8,396.16 and 3,396.39 is: 4,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.60 : 8,396.16 = 3,396.39 : x
  2. Step 2: Convert to fraction form
    6,085.60/8,396.16 = 3,396.39/x
  3. Step 3: Cross multiply
    6,085.60x = 8,396.16 × 3,396.39
  4. Step 4: Simplify right side
    6,085.60x = 28,516,591.88
  5. Step 5: Solve for x
    x = 28,516,591.88/6,085.60
  6. Step 6: Final answer
    x = 4,685.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.