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Finding the Fourth Proportional to 19,871.69, 29,813.49 and 8,019.36

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Solution

The fourth proportional to 19,871.69, 29,813.49 and 8,019.36 is: 12,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.69 : 29,813.49 = 8,019.36 : x
  2. Step 2: Convert to fraction form
    19,871.69/29,813.49 = 8,019.36/x
  3. Step 3: Cross multiply
    19,871.69x = 29,813.49 × 8,019.36
  4. Step 4: Simplify right side
    19,871.69x = 239,085,109.17
  5. Step 5: Solve for x
    x = 239,085,109.17/19,871.69
  6. Step 6: Final answer
    x = 12,031.45

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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.