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Finding the Fourth Proportional to 13,193.01, 18,209.10 and 12,129.09

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Solution

The fourth proportional to 13,193.01, 18,209.10 and 12,129.09 is: 16,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.01 : 18,209.10 = 12,129.09 : x
  2. Step 2: Convert to fraction form
    13,193.01/18,209.10 = 12,129.09/x
  3. Step 3: Cross multiply
    13,193.01x = 18,209.10 × 12,129.09
  4. Step 4: Simplify right side
    13,193.01x = 220,859,812.72
  5. Step 5: Solve for x
    x = 220,859,812.72/13,193.01
  6. Step 6: Final answer
    x = 16,740.67

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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.