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Finding the Fourth Proportional to 7,164.65, 10,745.76 and 1,969.31

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Solution

The fourth proportional to 7,164.65, 10,745.76 and 1,969.31 is: 2,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.65 : 10,745.76 = 1,969.31 : x
  2. Step 2: Convert to fraction form
    7,164.65/10,745.76 = 1,969.31/x
  3. Step 3: Cross multiply
    7,164.65x = 10,745.76 × 1,969.31
  4. Step 4: Simplify right side
    7,164.65x = 21,161,766.87
  5. Step 5: Solve for x
    x = 21,161,766.87/7,164.65
  6. Step 6: Final answer
    x = 2,953.63

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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.