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Finding the Fourth Proportional to 19,778.58, 29,673.95 and 8,092.71

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Solution

The fourth proportional to 19,778.58, 29,673.95 and 8,092.71 is: 12,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.58 : 29,673.95 = 8,092.71 : x
  2. Step 2: Convert to fraction form
    19,778.58/29,673.95 = 8,092.71/x
  3. Step 3: Cross multiply
    19,778.58x = 29,673.95 × 8,092.71
  4. Step 4: Simplify right side
    19,778.58x = 240,142,631.44
  5. Step 5: Solve for x
    x = 240,142,631.44/19,778.58
  6. Step 6: Final answer
    x = 12,141.55

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1.5x scale

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.