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Finding the Fourth Proportional to 13,460.65, 20,172.49 and 6,873.02

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Solution

The fourth proportional to 13,460.65, 20,172.49 and 6,873.02 is: 10,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.65 : 20,172.49 = 6,873.02 : x
  2. Step 2: Convert to fraction form
    13,460.65/20,172.49 = 6,873.02/x
  3. Step 3: Cross multiply
    13,460.65x = 20,172.49 × 6,873.02
  4. Step 4: Simplify right side
    13,460.65x = 138,645,923.48
  5. Step 5: Solve for x
    x = 138,645,923.48/13,460.65
  6. Step 6: Final answer
    x = 10,300.09

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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.