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Finding the Fourth Proportional to 19,954, 29,931.15 and 8,857.71

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Solution

The fourth proportional to 19,954, 29,931.15 and 8,857.71 is: 13,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954 : 29,931.15 = 8,857.71 : x
  2. Step 2: Convert to fraction form
    19,954/29,931.15 = 8,857.71/x
  3. Step 3: Cross multiply
    19,954x = 29,931.15 × 8,857.71
  4. Step 4: Simplify right side
    19,954x = 265,121,297.01
  5. Step 5: Solve for x
    x = 265,121,297.01/19,954
  6. Step 6: Final answer
    x = 13,286.62

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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.