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Finding the Fourth Proportional to 21,231, 31,860.18 and 8,919

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Solution

The fourth proportional to 21,231, 31,860.18 and 8,919 is: 13,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231 : 31,860.18 = 8,919 : x
  2. Step 2: Convert to fraction form
    21,231/31,860.18 = 8,919/x
  3. Step 3: Cross multiply
    21,231x = 31,860.18 × 8,919
  4. Step 4: Simplify right side
    21,231x = 284,160,945.42
  5. Step 5: Solve for x
    x = 284,160,945.42/21,231
  6. Step 6: Final answer
    x = 13,384.25

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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.