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Finding the Fourth Proportional to 19,828, 29,753.52 and 8,884

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Solution

The fourth proportional to 19,828, 29,753.52 and 8,884 is: 13,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 29,753.52 = 8,884 : x
  2. Step 2: Convert to fraction form
    19,828/29,753.52 = 8,884/x
  3. Step 3: Cross multiply
    19,828x = 29,753.52 × 8,884
  4. Step 4: Simplify right side
    19,828x = 264,330,271.68
  5. Step 5: Solve for x
    x = 264,330,271.68/19,828
  6. Step 6: Final answer
    x = 13,331.16

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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.