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Finding the Fourth Proportional to 13,578.50, 20,367.87 and 5,370.50

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Solution

The fourth proportional to 13,578.50, 20,367.87 and 5,370.50 is: 8,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.50 : 20,367.87 = 5,370.50 : x
  2. Step 2: Convert to fraction form
    13,578.50/20,367.87 = 5,370.50/x
  3. Step 3: Cross multiply
    13,578.50x = 20,367.87 × 5,370.50
  4. Step 4: Simplify right side
    13,578.50x = 109,385,645.84
  5. Step 5: Solve for x
    x = 109,385,645.84/13,578.50
  6. Step 6: Final answer
    x = 8,055.80

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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.