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Finding the Fourth Proportional to 1,974.75, 2,725.12 and 1,078.50

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Solution

The fourth proportional to 1,974.75, 2,725.12 and 1,078.50 is: 1,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.75 : 2,725.12 = 1,078.50 : x
  2. Step 2: Convert to fraction form
    1,974.75/2,725.12 = 1,078.50/x
  3. Step 3: Cross multiply
    1,974.75x = 2,725.12 × 1,078.50
  4. Step 4: Simplify right side
    1,974.75x = 2,939,036.53
  5. Step 5: Solve for x
    x = 2,939,036.53/1,974.75
  6. Step 6: Final answer
    x = 1,488.31

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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.