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Finding the Fourth Proportional to 20,569, 30,894.90 and 12,265.24

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Solution

The fourth proportional to 20,569, 30,894.90 and 12,265.24 is: 18,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 30,894.90 = 12,265.24 : x
  2. Step 2: Convert to fraction form
    20,569/30,894.90 = 12,265.24/x
  3. Step 3: Cross multiply
    20,569x = 30,894.90 × 12,265.24
  4. Step 4: Simplify right side
    20,569x = 378,933,363.28
  5. Step 5: Solve for x
    x = 378,933,363.28/20,569
  6. Step 6: Final answer
    x = 18,422.55

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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.