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Finding the Fourth Proportional to 6,578.91, 9,868.46 and 2,419.89

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Solution

The fourth proportional to 6,578.91, 9,868.46 and 2,419.89 is: 3,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.91 : 9,868.46 = 2,419.89 : x
  2. Step 2: Convert to fraction form
    6,578.91/9,868.46 = 2,419.89/x
  3. Step 3: Cross multiply
    6,578.91x = 9,868.46 × 2,419.89
  4. Step 4: Simplify right side
    6,578.91x = 23,880,575.57
  5. Step 5: Solve for x
    x = 23,880,575.57/6,578.91
  6. Step 6: Final answer
    x = 3,629.87

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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.