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Finding the Fourth Proportional to 9,149.06, 12,596.82 and 8,071.07

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Solution

The fourth proportional to 9,149.06, 12,596.82 and 8,071.07 is: 11,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.06 : 12,596.82 = 8,071.07 : x
  2. Step 2: Convert to fraction form
    9,149.06/12,596.82 = 8,071.07/x
  3. Step 3: Cross multiply
    9,149.06x = 12,596.82 × 8,071.07
  4. Step 4: Simplify right side
    9,149.06x = 101,669,753.01
  5. Step 5: Solve for x
    x = 101,669,753.01/9,149.06
  6. Step 6: Final answer
    x = 11,112.60

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Similar ratio
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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.