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Finding the Fourth Proportional to 2,883.85, 4,325.67 and 936

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Solution

The fourth proportional to 2,883.85, 4,325.67 and 936 is: 1,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.85 : 4,325.67 = 936 : x
  2. Step 2: Convert to fraction form
    2,883.85/4,325.67 = 936/x
  3. Step 3: Cross multiply
    2,883.85x = 4,325.67 × 936
  4. Step 4: Simplify right side
    2,883.85x = 4,048,827.12
  5. Step 5: Solve for x
    x = 4,048,827.12/2,883.85
  6. Step 6: Final answer
    x = 1,403.97

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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.