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Finding the Fourth Proportional to 12,147.88, 16,764.18 and 6,841.66

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Solution

The fourth proportional to 12,147.88, 16,764.18 and 6,841.66 is: 9,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.88 : 16,764.18 = 6,841.66 : x
  2. Step 2: Convert to fraction form
    12,147.88/16,764.18 = 6,841.66/x
  3. Step 3: Cross multiply
    12,147.88x = 16,764.18 × 6,841.66
  4. Step 4: Simplify right side
    12,147.88x = 114,694,819.74
  5. Step 5: Solve for x
    x = 114,694,819.74/12,147.88
  6. Step 6: Final answer
    x = 9,441.55

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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.