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Finding the Fourth Proportional to 2,389.25, 3,583.85 and 745.81

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Solution

The fourth proportional to 2,389.25, 3,583.85 and 745.81 is: 1,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.25 : 3,583.85 = 745.81 : x
  2. Step 2: Convert to fraction form
    2,389.25/3,583.85 = 745.81/x
  3. Step 3: Cross multiply
    2,389.25x = 3,583.85 × 745.81
  4. Step 4: Simplify right side
    2,389.25x = 2,672,858.48
  5. Step 5: Solve for x
    x = 2,672,858.48/2,389.25
  6. Step 6: Final answer
    x = 1,118.70

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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.