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Finding the Fourth Proportional to 13,198.79, 18,209.79 and 7,529.46

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Solution

The fourth proportional to 13,198.79, 18,209.79 and 7,529.46 is: 10,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.79 : 18,209.79 = 7,529.46 : x
  2. Step 2: Convert to fraction form
    13,198.79/18,209.79 = 7,529.46/x
  3. Step 3: Cross multiply
    13,198.79x = 18,209.79 × 7,529.46
  4. Step 4: Simplify right side
    13,198.79x = 137,109,885.41
  5. Step 5: Solve for x
    x = 137,109,885.41/13,198.79
  6. Step 6: Final answer
    x = 10,388.07

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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.