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Finding the Fourth Proportional to 19,847.66, 29,786.07 and 9,977

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Solution

The fourth proportional to 19,847.66, 29,786.07 and 9,977 is: 14,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.66 : 29,786.07 = 9,977 : x
  2. Step 2: Convert to fraction form
    19,847.66/29,786.07 = 9,977/x
  3. Step 3: Cross multiply
    19,847.66x = 29,786.07 × 9,977
  4. Step 4: Simplify right side
    19,847.66x = 297,175,620.39
  5. Step 5: Solve for x
    x = 297,175,620.39/19,847.66
  6. Step 6: Final answer
    x = 14,972.83

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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.