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Finding the Fourth Proportional to 6,889.85, 9,508.10 and 3,905.61

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Solution

The fourth proportional to 6,889.85, 9,508.10 and 3,905.61 is: 5,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.85 : 9,508.10 = 3,905.61 : x
  2. Step 2: Convert to fraction form
    6,889.85/9,508.10 = 3,905.61/x
  3. Step 3: Cross multiply
    6,889.85x = 9,508.10 × 3,905.61
  4. Step 4: Simplify right side
    6,889.85x = 37,134,910.91
  5. Step 5: Solve for x
    x = 37,134,910.91/6,889.85
  6. Step 6: Final answer
    x = 5,389.80

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1.5x scale

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.