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Finding the Fourth Proportional to 11,309.00, 16,965.03 and 3,911.46

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Solution

The fourth proportional to 11,309.00, 16,965.03 and 3,911.46 is: 5,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.00 : 16,965.03 = 3,911.46 : x
  2. Step 2: Convert to fraction form
    11,309.00/16,965.03 = 3,911.46/x
  3. Step 3: Cross multiply
    11,309.00x = 16,965.03 × 3,911.46
  4. Step 4: Simplify right side
    11,309.00x = 66,358,036.24
  5. Step 5: Solve for x
    x = 66,358,036.24/11,309.00
  6. Step 6: Final answer
    x = 5,867.72

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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.