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Finding the Fourth Proportional to 11,771.36, 17,664.48 and 6,580.64

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Solution

The fourth proportional to 11,771.36, 17,664.48 and 6,580.64 is: 9,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.36 : 17,664.48 = 6,580.64 : x
  2. Step 2: Convert to fraction form
    11,771.36/17,664.48 = 6,580.64/x
  3. Step 3: Cross multiply
    11,771.36x = 17,664.48 × 6,580.64
  4. Step 4: Simplify right side
    11,771.36x = 116,243,583.67
  5. Step 5: Solve for x
    x = 116,243,583.67/11,771.36
  6. Step 6: Final answer
    x = 9,875.12

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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.