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Finding the Fourth Proportional to 13,506, 20,250 and 5,606.46

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Solution

The fourth proportional to 13,506, 20,250 and 5,606.46 is: 8,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,250 = 5,606.46 : x
  2. Step 2: Convert to fraction form
    13,506/20,250 = 5,606.46/x
  3. Step 3: Cross multiply
    13,506x = 20,250 × 5,606.46
  4. Step 4: Simplify right side
    13,506x = 113,530,815
  5. Step 5: Solve for x
    x = 113,530,815/13,506
  6. Step 6: Final answer
    x = 8,405.95

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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.