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Finding the Fourth Proportional to 19,869.08, 29,797.04 and 8,019.80

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Solution

The fourth proportional to 19,869.08, 29,797.04 and 8,019.80 is: 12,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.08 : 29,797.04 = 8,019.80 : x
  2. Step 2: Convert to fraction form
    19,869.08/29,797.04 = 8,019.80/x
  3. Step 3: Cross multiply
    19,869.08x = 29,797.04 × 8,019.80
  4. Step 4: Simplify right side
    19,869.08x = 238,966,172.46
  5. Step 5: Solve for x
    x = 238,966,172.46/19,869.08
  6. Step 6: Final answer
    x = 12,027.04

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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.