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Finding the Fourth Proportional to 11,518, 17,277.96 and 3,310

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Solution

The fourth proportional to 11,518, 17,277.96 and 3,310 is: 4,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 17,277.96 = 3,310 : x
  2. Step 2: Convert to fraction form
    11,518/17,277.96 = 3,310/x
  3. Step 3: Cross multiply
    11,518x = 17,277.96 × 3,310
  4. Step 4: Simplify right side
    11,518x = 57,190,047.60
  5. Step 5: Solve for x
    x = 57,190,047.60/11,518
  6. Step 6: Final answer
    x = 4,965.28

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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.