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Finding the Fourth Proportional to 1,945.25, 2,916.11 and 711.78

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Solution

The fourth proportional to 1,945.25, 2,916.11 and 711.78 is: 1,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.25 : 2,916.11 = 711.78 : x
  2. Step 2: Convert to fraction form
    1,945.25/2,916.11 = 711.78/x
  3. Step 3: Cross multiply
    1,945.25x = 2,916.11 × 711.78
  4. Step 4: Simplify right side
    1,945.25x = 2,075,625.22
  5. Step 5: Solve for x
    x = 2,075,625.22/1,945.25
  6. Step 6: Final answer
    x = 1,067.03

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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.