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Finding the Fourth Proportional to 2,975.73, 4,104.63 and 1,914.87

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Solution

The fourth proportional to 2,975.73, 4,104.63 and 1,914.87 is: 2,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.73 : 4,104.63 = 1,914.87 : x
  2. Step 2: Convert to fraction form
    2,975.73/4,104.63 = 1,914.87/x
  3. Step 3: Cross multiply
    2,975.73x = 4,104.63 × 1,914.87
  4. Step 4: Simplify right side
    2,975.73x = 7,859,825.15
  5. Step 5: Solve for x
    x = 7,859,825.15/2,975.73
  6. Step 6: Final answer
    x = 2,641.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.