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Finding the Fourth Proportional to 1,938.67, 2,907.93 and 843.03

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Solution

The fourth proportional to 1,938.67, 2,907.93 and 843.03 is: 1,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.67 : 2,907.93 = 843.03 : x
  2. Step 2: Convert to fraction form
    1,938.67/2,907.93 = 843.03/x
  3. Step 3: Cross multiply
    1,938.67x = 2,907.93 × 843.03
  4. Step 4: Simplify right side
    1,938.67x = 2,451,486.29
  5. Step 5: Solve for x
    x = 2,451,486.29/1,938.67
  6. Step 6: Final answer
    x = 1,264.52

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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.