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Finding the Fourth Proportional to 19,484.78, 29,214.97 and 8,234.29

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Solution

The fourth proportional to 19,484.78, 29,214.97 and 8,234.29 is: 12,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484.78 : 29,214.97 = 8,234.29 : x
  2. Step 2: Convert to fraction form
    19,484.78/29,214.97 = 8,234.29/x
  3. Step 3: Cross multiply
    19,484.78x = 29,214.97 × 8,234.29
  4. Step 4: Simplify right side
    19,484.78x = 240,564,551.25
  5. Step 5: Solve for x
    x = 240,564,551.25/19,484.78
  6. Step 6: Final answer
    x = 12,346.28

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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.