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Finding the Fourth Proportional to 13,503.46, 20,255.80 and 4,142.80

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Solution

The fourth proportional to 13,503.46, 20,255.80 and 4,142.80 is: 6,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.46 : 20,255.80 = 4,142.80 : x
  2. Step 2: Convert to fraction form
    13,503.46/20,255.80 = 4,142.80/x
  3. Step 3: Cross multiply
    13,503.46x = 20,255.80 × 4,142.80
  4. Step 4: Simplify right side
    13,503.46x = 83,915,728.24
  5. Step 5: Solve for x
    x = 83,915,728.24/13,503.46
  6. Step 6: Final answer
    x = 6,214.39

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1.5x scale

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.