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Finding the Fourth Proportional to 9,225, 13,837.50 and 3,069

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Solution

The fourth proportional to 9,225, 13,837.50 and 3,069 is: 4,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 13,837.50 = 3,069 : x
  2. Step 2: Convert to fraction form
    9,225/13,837.50 = 3,069/x
  3. Step 3: Cross multiply
    9,225x = 13,837.50 × 3,069
  4. Step 4: Simplify right side
    9,225x = 42,467,287.50
  5. Step 5: Solve for x
    x = 42,467,287.50/9,225
  6. Step 6: Final answer
    x = 4,603.50

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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.