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Finding the Fourth Proportional to 13,443.50, 20,165.52 and 4,209.50

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Solution

The fourth proportional to 13,443.50, 20,165.52 and 4,209.50 is: 6,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.50 : 20,165.52 = 4,209.50 : x
  2. Step 2: Convert to fraction form
    13,443.50/20,165.52 = 4,209.50/x
  3. Step 3: Cross multiply
    13,443.50x = 20,165.52 × 4,209.50
  4. Step 4: Simplify right side
    13,443.50x = 84,886,756.44
  5. Step 5: Solve for x
    x = 84,886,756.44/13,443.50
  6. Step 6: Final answer
    x = 6,314.33

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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.