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Finding the Fourth Proportional to 12,407.76, 18,611.64 and 3,642.67

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Solution

The fourth proportional to 12,407.76, 18,611.64 and 3,642.67 is: 5,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.76 : 18,611.64 = 3,642.67 : x
  2. Step 2: Convert to fraction form
    12,407.76/18,611.64 = 3,642.67/x
  3. Step 3: Cross multiply
    12,407.76x = 18,611.64 × 3,642.67
  4. Step 4: Simplify right side
    12,407.76x = 67,796,062.68
  5. Step 5: Solve for x
    x = 67,796,062.68/12,407.76
  6. Step 6: Final answer
    x = 5,464.01

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Similar ratio
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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.