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Finding the Fourth Proportional to 13,583.19, 20,352.92 and 8,378.13

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Solution

The fourth proportional to 13,583.19, 20,352.92 and 8,378.13 is: 12,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.19 : 20,352.92 = 8,378.13 : x
  2. Step 2: Convert to fraction form
    13,583.19/20,352.92 = 8,378.13/x
  3. Step 3: Cross multiply
    13,583.19x = 20,352.92 × 8,378.13
  4. Step 4: Simplify right side
    13,583.19x = 170,519,491.20
  5. Step 5: Solve for x
    x = 170,519,491.20/13,583.19
  6. Step 6: Final answer
    x = 12,553.71

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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.