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Finding the Fourth Proportional to 19,697.81, 29,546.83 and 5,658.41

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Solution

The fourth proportional to 19,697.81, 29,546.83 and 5,658.41 is: 8,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.81 : 29,546.83 = 5,658.41 : x
  2. Step 2: Convert to fraction form
    19,697.81/29,546.83 = 5,658.41/x
  3. Step 3: Cross multiply
    19,697.81x = 29,546.83 × 5,658.41
  4. Step 4: Simplify right side
    19,697.81x = 167,187,961.25
  5. Step 5: Solve for x
    x = 167,187,961.25/19,697.81
  6. Step 6: Final answer
    x = 8,487.64

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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.