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Finding the Fourth Proportional to 19,889.44, 29,834 and 7,409.04

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Solution

The fourth proportional to 19,889.44, 29,834 and 7,409.04 is: 11,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.44 : 29,834 = 7,409.04 : x
  2. Step 2: Convert to fraction form
    19,889.44/29,834 = 7,409.04/x
  3. Step 3: Cross multiply
    19,889.44x = 29,834 × 7,409.04
  4. Step 4: Simplify right side
    19,889.44x = 221,041,299.36
  5. Step 5: Solve for x
    x = 221,041,299.36/19,889.44
  6. Step 6: Final answer
    x = 11,113.50

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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.