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Finding the Fourth Proportional to 12,542, 18,821.66 and 4,334

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Solution

The fourth proportional to 12,542, 18,821.66 and 4,334 is: 6,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542 : 18,821.66 = 4,334 : x
  2. Step 2: Convert to fraction form
    12,542/18,821.66 = 4,334/x
  3. Step 3: Cross multiply
    12,542x = 18,821.66 × 4,334
  4. Step 4: Simplify right side
    12,542x = 81,573,074.44
  5. Step 5: Solve for x
    x = 81,573,074.44/12,542
  6. Step 6: Final answer
    x = 6,503.99

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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.