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Finding the Fourth Proportional to 13,197.53, 18,212.11 and 7,534.08

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Solution

The fourth proportional to 13,197.53, 18,212.11 and 7,534.08 is: 10,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.53 : 18,212.11 = 7,534.08 : x
  2. Step 2: Convert to fraction form
    13,197.53/18,212.11 = 7,534.08/x
  3. Step 3: Cross multiply
    13,197.53x = 18,212.11 × 7,534.08
  4. Step 4: Simplify right side
    13,197.53x = 137,211,474.87
  5. Step 5: Solve for x
    x = 137,211,474.87/13,197.53
  6. Step 6: Final answer
    x = 10,396.75

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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.