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Finding the Fourth Proportional to 13,453.41, 20,180.16 and 4,219.41

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Solution

The fourth proportional to 13,453.41, 20,180.16 and 4,219.41 is: 6,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.41 : 20,180.16 = 4,219.41 : x
  2. Step 2: Convert to fraction form
    13,453.41/20,180.16 = 4,219.41/x
  3. Step 3: Cross multiply
    13,453.41x = 20,180.16 × 4,219.41
  4. Step 4: Simplify right side
    13,453.41x = 85,148,368.91
  5. Step 5: Solve for x
    x = 85,148,368.91/13,453.41
  6. Step 6: Final answer
    x = 6,329.13

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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.