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Finding the Fourth Proportional to 19,796.10, 29,710.95 and 8,117.70

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Solution

The fourth proportional to 19,796.10, 29,710.95 and 8,117.70 is: 12,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.10 : 29,710.95 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    19,796.10/29,710.95 = 8,117.70/x
  3. Step 3: Cross multiply
    19,796.10x = 29,710.95 × 8,117.70
  4. Step 4: Simplify right side
    19,796.10x = 241,184,578.82
  5. Step 5: Solve for x
    x = 241,184,578.82/19,796.10
  6. Step 6: Final answer
    x = 12,183.44

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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.