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Finding the Fourth Proportional to 19,793.54, 29,690.32 and 8,102

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Solution

The fourth proportional to 19,793.54, 29,690.32 and 8,102 is: 12,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.54 : 29,690.32 = 8,102 : x
  2. Step 2: Convert to fraction form
    19,793.54/29,690.32 = 8,102/x
  3. Step 3: Cross multiply
    19,793.54x = 29,690.32 × 8,102
  4. Step 4: Simplify right side
    19,793.54x = 240,550,972.64
  5. Step 5: Solve for x
    x = 240,550,972.64/19,793.54
  6. Step 6: Final answer
    x = 12,153.00

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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.