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Finding the Fourth Proportional to 9,255, 13,880.79 and 2,679.60

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Solution

The fourth proportional to 9,255, 13,880.79 and 2,679.60 is: 4,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255 : 13,880.79 = 2,679.60 : x
  2. Step 2: Convert to fraction form
    9,255/13,880.79 = 2,679.60/x
  3. Step 3: Cross multiply
    9,255x = 13,880.79 × 2,679.60
  4. Step 4: Simplify right side
    9,255x = 37,194,964.88
  5. Step 5: Solve for x
    x = 37,194,964.88/9,255
  6. Step 6: Final answer
    x = 4,018.90

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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.