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Finding the Fourth Proportional to 19,847.82, 29,772.41 and 9,981.72

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Solution

The fourth proportional to 19,847.82, 29,772.41 and 9,981.72 is: 14,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.82 : 29,772.41 = 9,981.72 : x
  2. Step 2: Convert to fraction form
    19,847.82/29,772.41 = 9,981.72/x
  3. Step 3: Cross multiply
    19,847.82x = 29,772.41 × 9,981.72
  4. Step 4: Simplify right side
    19,847.82x = 297,179,860.35
  5. Step 5: Solve for x
    x = 297,179,860.35/19,847.82
  6. Step 6: Final answer
    x = 14,972.92

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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.