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Finding the Fourth Proportional to 13,367.63, 18,452.19 and 7,778.63

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Solution

The fourth proportional to 13,367.63, 18,452.19 and 7,778.63 is: 10,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.63 : 18,452.19 = 7,778.63 : x
  2. Step 2: Convert to fraction form
    13,367.63/18,452.19 = 7,778.63/x
  3. Step 3: Cross multiply
    13,367.63x = 18,452.19 × 7,778.63
  4. Step 4: Simplify right side
    13,367.63x = 143,532,627.55
  5. Step 5: Solve for x
    x = 143,532,627.55/13,367.63
  6. Step 6: Final answer
    x = 10,737.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.