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Finding the Fourth Proportional to 12,406.56, 18,608.16 and 3,639.84

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Solution

The fourth proportional to 12,406.56, 18,608.16 and 3,639.84 is: 5,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.56 : 18,608.16 = 3,639.84 : x
  2. Step 2: Convert to fraction form
    12,406.56/18,608.16 = 3,639.84/x
  3. Step 3: Cross multiply
    12,406.56x = 18,608.16 × 3,639.84
  4. Step 4: Simplify right side
    12,406.56x = 67,730,725.09
  5. Step 5: Solve for x
    x = 67,730,725.09/12,406.56
  6. Step 6: Final answer
    x = 5,459.27

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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.