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Finding the Fourth Proportional to 9,811.66, 14,717.82 and 3,889.66

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Solution

The fourth proportional to 9,811.66, 14,717.82 and 3,889.66 is: 5,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.66 : 14,717.82 = 3,889.66 : x
  2. Step 2: Convert to fraction form
    9,811.66/14,717.82 = 3,889.66/x
  3. Step 3: Cross multiply
    9,811.66x = 14,717.82 × 3,889.66
  4. Step 4: Simplify right side
    9,811.66x = 57,247,334.14
  5. Step 5: Solve for x
    x = 57,247,334.14/9,811.66
  6. Step 6: Final answer
    x = 5,834.63

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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.