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Finding the Fourth Proportional to 3,918.99, 5,878.35 and 1,578.27

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Solution

The fourth proportional to 3,918.99, 5,878.35 and 1,578.27 is: 2,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.99 : 5,878.35 = 1,578.27 : x
  2. Step 2: Convert to fraction form
    3,918.99/5,878.35 = 1,578.27/x
  3. Step 3: Cross multiply
    3,918.99x = 5,878.35 × 1,578.27
  4. Step 4: Simplify right side
    3,918.99x = 9,277,623.45
  5. Step 5: Solve for x
    x = 9,277,623.45/3,918.99
  6. Step 6: Final answer
    x = 2,367.35

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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.