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Finding the Fourth Proportional to 11,785.34, 17,643.44 and 7,137.02

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Solution

The fourth proportional to 11,785.34, 17,643.44 and 7,137.02 is: 10,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.34 : 17,643.44 = 7,137.02 : x
  2. Step 2: Convert to fraction form
    11,785.34/17,643.44 = 7,137.02/x
  3. Step 3: Cross multiply
    11,785.34x = 17,643.44 × 7,137.02
  4. Step 4: Simplify right side
    11,785.34x = 125,921,584.15
  5. Step 5: Solve for x
    x = 125,921,584.15/11,785.34
  6. Step 6: Final answer
    x = 10,684.59

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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.