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Finding the Fourth Proportional to 12,578.13, 18,869.22 and 4,258.65

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Solution

The fourth proportional to 12,578.13, 18,869.22 and 4,258.65 is: 6,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.13 : 18,869.22 = 4,258.65 : x
  2. Step 2: Convert to fraction form
    12,578.13/18,869.22 = 4,258.65/x
  3. Step 3: Cross multiply
    12,578.13x = 18,869.22 × 4,258.65
  4. Step 4: Simplify right side
    12,578.13x = 80,357,403.75
  5. Step 5: Solve for x
    x = 80,357,403.75/12,578.13
  6. Step 6: Final answer
    x = 6,388.66

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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.