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Finding the Fourth Proportional to 13,562, 20,340.60 and 6,164.72

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Solution

The fourth proportional to 13,562, 20,340.60 and 6,164.72 is: 9,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562 : 20,340.60 = 6,164.72 : x
  2. Step 2: Convert to fraction form
    13,562/20,340.60 = 6,164.72/x
  3. Step 3: Cross multiply
    13,562x = 20,340.60 × 6,164.72
  4. Step 4: Simplify right side
    13,562x = 125,394,103.63
  5. Step 5: Solve for x
    x = 125,394,103.63/13,562
  6. Step 6: Final answer
    x = 9,245.99

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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.