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Finding the Fourth Proportional to 19,889.05, 29,828.86 and 7,414.93

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Solution

The fourth proportional to 19,889.05, 29,828.86 and 7,414.93 is: 11,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.05 : 29,828.86 = 7,414.93 : x
  2. Step 2: Convert to fraction form
    19,889.05/29,828.86 = 7,414.93/x
  3. Step 3: Cross multiply
    19,889.05x = 29,828.86 × 7,414.93
  4. Step 4: Simplify right side
    19,889.05x = 221,178,908.88
  5. Step 5: Solve for x
    x = 221,178,908.88/19,889.05
  6. Step 6: Final answer
    x = 11,120.64

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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.