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Finding the Fourth Proportional to 9,889.94, 13,649.37 and 6,489.81

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Solution

The fourth proportional to 9,889.94, 13,649.37 and 6,489.81 is: 8,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.94 : 13,649.37 = 6,489.81 : x
  2. Step 2: Convert to fraction form
    9,889.94/13,649.37 = 6,489.81/x
  3. Step 3: Cross multiply
    9,889.94x = 13,649.37 × 6,489.81
  4. Step 4: Simplify right side
    9,889.94x = 88,581,817.92
  5. Step 5: Solve for x
    x = 88,581,817.92/9,889.94
  6. Step 6: Final answer
    x = 8,956.76

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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.