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Finding the Fourth Proportional to 12,378.91, 18,568.14 and 3,019

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Solution

The fourth proportional to 12,378.91, 18,568.14 and 3,019 is: 4,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.91 : 18,568.14 = 3,019 : x
  2. Step 2: Convert to fraction form
    12,378.91/18,568.14 = 3,019/x
  3. Step 3: Cross multiply
    12,378.91x = 18,568.14 × 3,019
  4. Step 4: Simplify right side
    12,378.91x = 56,057,214.66
  5. Step 5: Solve for x
    x = 56,057,214.66/12,378.91
  6. Step 6: Final answer
    x = 4,528.45

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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.