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Finding the Fourth Proportional to 19,898.64, 29,851.68 and 8,205.48

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Solution

The fourth proportional to 19,898.64, 29,851.68 and 8,205.48 is: 12,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.64 : 29,851.68 = 8,205.48 : x
  2. Step 2: Convert to fraction form
    19,898.64/29,851.68 = 8,205.48/x
  3. Step 3: Cross multiply
    19,898.64x = 29,851.68 × 8,205.48
  4. Step 4: Simplify right side
    19,898.64x = 244,947,363.21
  5. Step 5: Solve for x
    x = 244,947,363.21/19,898.64
  6. Step 6: Final answer
    x = 12,309.75

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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.