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Finding the Fourth Proportional to 19,896.81, 29,838.78 and 6,566.81

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Solution

The fourth proportional to 19,896.81, 29,838.78 and 6,566.81 is: 9,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.81 : 29,838.78 = 6,566.81 : x
  2. Step 2: Convert to fraction form
    19,896.81/29,838.78 = 6,566.81/x
  3. Step 3: Cross multiply
    19,896.81x = 29,838.78 × 6,566.81
  4. Step 4: Simplify right side
    19,896.81x = 195,945,449.70
  5. Step 5: Solve for x
    x = 195,945,449.70/19,896.81
  6. Step 6: Final answer
    x = 9,848.09

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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.