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Finding the Fourth Proportional to 1,282.24, 1,916.33 and 936.30

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Solution

The fourth proportional to 1,282.24, 1,916.33 and 936.30 is: 1,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.24 : 1,916.33 = 936.30 : x
  2. Step 2: Convert to fraction form
    1,282.24/1,916.33 = 936.30/x
  3. Step 3: Cross multiply
    1,282.24x = 1,916.33 × 936.30
  4. Step 4: Simplify right side
    1,282.24x = 1,794,269.31
  5. Step 5: Solve for x
    x = 1,794,269.31/1,282.24
  6. Step 6: Final answer
    x = 1,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.