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Finding the Fourth Proportional to 12,120.44, 16,726.86 and 6,815.48

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Solution

The fourth proportional to 12,120.44, 16,726.86 and 6,815.48 is: 9,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.44 : 16,726.86 = 6,815.48 : x
  2. Step 2: Convert to fraction form
    12,120.44/16,726.86 = 6,815.48/x
  3. Step 3: Cross multiply
    12,120.44x = 16,726.86 × 6,815.48
  4. Step 4: Simplify right side
    12,120.44x = 114,001,579.79
  5. Step 5: Solve for x
    x = 114,001,579.79/12,120.44
  6. Step 6: Final answer
    x = 9,405.73

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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.