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Finding the Fourth Proportional to 11,709.64, 17,560.06 and 3,810.09

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Solution

The fourth proportional to 11,709.64, 17,560.06 and 3,810.09 is: 5,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.64 : 17,560.06 = 3,810.09 : x
  2. Step 2: Convert to fraction form
    11,709.64/17,560.06 = 3,810.09/x
  3. Step 3: Cross multiply
    11,709.64x = 17,560.06 × 3,810.09
  4. Step 4: Simplify right side
    11,709.64x = 66,905,409.01
  5. Step 5: Solve for x
    x = 66,905,409.01/11,709.64
  6. Step 6: Final answer
    x = 5,713.70

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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.