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Finding the Fourth Proportional to 19,818.64, 29,722.72 and 8,129.64

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Solution

The fourth proportional to 19,818.64, 29,722.72 and 8,129.64 is: 12,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.64 : 29,722.72 = 8,129.64 : x
  2. Step 2: Convert to fraction form
    19,818.64/29,722.72 = 8,129.64/x
  3. Step 3: Cross multiply
    19,818.64x = 29,722.72 × 8,129.64
  4. Step 4: Simplify right side
    19,818.64x = 241,635,013.42
  5. Step 5: Solve for x
    x = 241,635,013.42/19,818.64
  6. Step 6: Final answer
    x = 12,192.31

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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.