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Finding the Fourth Proportional to 6,310.66, 9,470.31 and 3,389.86

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Solution

The fourth proportional to 6,310.66, 9,470.31 and 3,389.86 is: 5,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.66 : 9,470.31 = 3,389.86 : x
  2. Step 2: Convert to fraction form
    6,310.66/9,470.31 = 3,389.86/x
  3. Step 3: Cross multiply
    6,310.66x = 9,470.31 × 3,389.86
  4. Step 4: Simplify right side
    6,310.66x = 32,103,025.06
  5. Step 5: Solve for x
    x = 32,103,025.06/6,310.66
  6. Step 6: Final answer
    x = 5,087.11

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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.