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Finding the Fourth Proportional to 1,916.33, 2,879.97 and 943.12

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Solution

The fourth proportional to 1,916.33, 2,879.97 and 943.12 is: 1,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.33 : 2,879.97 = 943.12 : x
  2. Step 2: Convert to fraction form
    1,916.33/2,879.97 = 943.12/x
  3. Step 3: Cross multiply
    1,916.33x = 2,879.97 × 943.12
  4. Step 4: Simplify right side
    1,916.33x = 2,716,150.11
  5. Step 5: Solve for x
    x = 2,716,150.11/1,916.33
  6. Step 6: Final answer
    x = 1,417.37

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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.