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Finding the Fourth Proportional to 1,975.94, 2,974.09 and 1,737.80

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Solution

The fourth proportional to 1,975.94, 2,974.09 and 1,737.80 is: 2,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.94 : 2,974.09 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    1,975.94/2,974.09 = 1,737.80/x
  3. Step 3: Cross multiply
    1,975.94x = 2,974.09 × 1,737.80
  4. Step 4: Simplify right side
    1,975.94x = 5,168,360.90
  5. Step 5: Solve for x
    x = 5,168,360.90/1,975.94
  6. Step 6: Final answer
    x = 2,615.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.