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Finding the Fourth Proportional to 8,609.36, 11,880 and 4,832.60

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Solution

The fourth proportional to 8,609.36, 11,880 and 4,832.60 is: 6,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.36 : 11,880 = 4,832.60 : x
  2. Step 2: Convert to fraction form
    8,609.36/11,880 = 4,832.60/x
  3. Step 3: Cross multiply
    8,609.36x = 11,880 × 4,832.60
  4. Step 4: Simplify right side
    8,609.36x = 57,411,228.60
  5. Step 5: Solve for x
    x = 57,411,228.60/8,609.36
  6. Step 6: Final answer
    x = 6,668.47

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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.