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Finding the Fourth Proportional to 11,759.12, 17,642.70 and 7,371.32

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Solution

The fourth proportional to 11,759.12, 17,642.70 and 7,371.32 is: 11,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.12 : 17,642.70 = 7,371.32 : x
  2. Step 2: Convert to fraction form
    11,759.12/17,642.70 = 7,371.32/x
  3. Step 3: Cross multiply
    11,759.12x = 17,642.70 × 7,371.32
  4. Step 4: Simplify right side
    11,759.12x = 130,049,987.36
  5. Step 5: Solve for x
    x = 130,049,987.36/11,759.12
  6. Step 6: Final answer
    x = 11,059.50

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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.