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Finding the Fourth Proportional to 6,490.86, 9,736.29 and 2,108.76

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Solution

The fourth proportional to 6,490.86, 9,736.29 and 2,108.76 is: 3,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.86 : 9,736.29 = 2,108.76 : x
  2. Step 2: Convert to fraction form
    6,490.86/9,736.29 = 2,108.76/x
  3. Step 3: Cross multiply
    6,490.86x = 9,736.29 × 2,108.76
  4. Step 4: Simplify right side
    6,490.86x = 20,531,498.90
  5. Step 5: Solve for x
    x = 20,531,498.90/6,490.86
  6. Step 6: Final answer
    x = 3,163.14

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Similar ratio
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1.5x scale

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.