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Finding the Fourth Proportional to 13,225, 18,250.50 and 7,636

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Solution

The fourth proportional to 13,225, 18,250.50 and 7,636 is: 10,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 18,250.50 = 7,636 : x
  2. Step 2: Convert to fraction form
    13,225/18,250.50 = 7,636/x
  3. Step 3: Cross multiply
    13,225x = 18,250.50 × 7,636
  4. Step 4: Simplify right side
    13,225x = 139,360,818
  5. Step 5: Solve for x
    x = 139,360,818/13,225
  6. Step 6: Final answer
    x = 10,537.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.