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Finding the Fourth Proportional to 13,460, 20,190.81 and 4,226

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Solution

The fourth proportional to 13,460, 20,190.81 and 4,226 is: 6,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460 : 20,190.81 = 4,226 : x
  2. Step 2: Convert to fraction form
    13,460/20,190.81 = 4,226/x
  3. Step 3: Cross multiply
    13,460x = 20,190.81 × 4,226
  4. Step 4: Simplify right side
    13,460x = 85,326,363.06
  5. Step 5: Solve for x
    x = 85,326,363.06/13,460
  6. Step 6: Final answer
    x = 6,339.25

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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.