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Finding the Fourth Proportional to 13,412, 20,140.72 and 8,740

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Solution

The fourth proportional to 13,412, 20,140.72 and 8,740 is: 13,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412 : 20,140.72 = 8,740 : x
  2. Step 2: Convert to fraction form
    13,412/20,140.72 = 8,740/x
  3. Step 3: Cross multiply
    13,412x = 20,140.72 × 8,740
  4. Step 4: Simplify right side
    13,412x = 176,029,892.80
  5. Step 5: Solve for x
    x = 176,029,892.80/13,412
  6. Step 6: Final answer
    x = 13,124.81

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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.