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Finding the Fourth Proportional to 15,894, 21,933.72 and 8,821.89

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Solution

The fourth proportional to 15,894, 21,933.72 and 8,821.89 is: 12,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 21,933.72 = 8,821.89 : x
  2. Step 2: Convert to fraction form
    15,894/21,933.72 = 8,821.89/x
  3. Step 3: Cross multiply
    15,894x = 21,933.72 × 8,821.89
  4. Step 4: Simplify right side
    15,894x = 193,496,865.13
  5. Step 5: Solve for x
    x = 193,496,865.13/15,894
  6. Step 6: Final answer
    x = 12,174.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.