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Finding the Fourth Proportional to 19,476, 29,234.80 and 8,388.18

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Solution

The fourth proportional to 19,476, 29,234.80 and 8,388.18 is: 12,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 29,234.80 = 8,388.18 : x
  2. Step 2: Convert to fraction form
    19,476/29,234.80 = 8,388.18/x
  3. Step 3: Cross multiply
    19,476x = 29,234.80 × 8,388.18
  4. Step 4: Simplify right side
    19,476x = 245,226,764.66
  5. Step 5: Solve for x
    x = 245,226,764.66/19,476
  6. Step 6: Final answer
    x = 12,591.23

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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.