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Finding the Fourth Proportional to 5,041, 7,561.77 and 1,578.52

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Solution

The fourth proportional to 5,041, 7,561.77 and 1,578.52 is: 2,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041 : 7,561.77 = 1,578.52 : x
  2. Step 2: Convert to fraction form
    5,041/7,561.77 = 1,578.52/x
  3. Step 3: Cross multiply
    5,041x = 7,561.77 × 1,578.52
  4. Step 4: Simplify right side
    5,041x = 11,936,405.18
  5. Step 5: Solve for x
    x = 11,936,405.18/5,041
  6. Step 6: Final answer
    x = 2,367.86

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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.