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Finding the Fourth Proportional to 13,205.87, 18,221.78 and 7,538.03

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Solution

The fourth proportional to 13,205.87, 18,221.78 and 7,538.03 is: 10,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.87 : 18,221.78 = 7,538.03 : x
  2. Step 2: Convert to fraction form
    13,205.87/18,221.78 = 7,538.03/x
  3. Step 3: Cross multiply
    13,205.87x = 18,221.78 × 7,538.03
  4. Step 4: Simplify right side
    13,205.87x = 137,356,252.03
  5. Step 5: Solve for x
    x = 137,356,252.03/13,205.87
  6. Step 6: Final answer
    x = 10,401.16

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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.