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Finding the Fourth Proportional to 6,645.75, 9,968.61 and 1,715.38

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Solution

The fourth proportional to 6,645.75, 9,968.61 and 1,715.38 is: 2,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.75 : 9,968.61 = 1,715.38 : x
  2. Step 2: Convert to fraction form
    6,645.75/9,968.61 = 1,715.38/x
  3. Step 3: Cross multiply
    6,645.75x = 9,968.61 × 1,715.38
  4. Step 4: Simplify right side
    6,645.75x = 17,099,954.22
  5. Step 5: Solve for x
    x = 17,099,954.22/6,645.75
  6. Step 6: Final answer
    x = 2,573.07

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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.