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Finding the Fourth Proportional to 8,961, 13,446.36 and 4,344

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Solution

The fourth proportional to 8,961, 13,446.36 and 4,344 is: 6,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961 : 13,446.36 = 4,344 : x
  2. Step 2: Convert to fraction form
    8,961/13,446.36 = 4,344/x
  3. Step 3: Cross multiply
    8,961x = 13,446.36 × 4,344
  4. Step 4: Simplify right side
    8,961x = 58,410,987.84
  5. Step 5: Solve for x
    x = 58,410,987.84/8,961
  6. Step 6: Final answer
    x = 6,518.36

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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.