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Finding the Fourth Proportional to 12,419.40, 18,627.30 and 3,653.40

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Solution

The fourth proportional to 12,419.40, 18,627.30 and 3,653.40 is: 5,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.40 : 18,627.30 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    12,419.40/18,627.30 = 3,653.40/x
  3. Step 3: Cross multiply
    12,419.40x = 18,627.30 × 3,653.40
  4. Step 4: Simplify right side
    12,419.40x = 68,052,977.82
  5. Step 5: Solve for x
    x = 68,052,977.82/12,419.40
  6. Step 6: Final answer
    x = 5,479.57

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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.