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Finding the Fourth Proportional to 1,945.83, 2,918.92 and 775.55

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Solution

The fourth proportional to 1,945.83, 2,918.92 and 775.55 is: 1,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.83 : 2,918.92 = 775.55 : x
  2. Step 2: Convert to fraction form
    1,945.83/2,918.92 = 775.55/x
  3. Step 3: Cross multiply
    1,945.83x = 2,918.92 × 775.55
  4. Step 4: Simplify right side
    1,945.83x = 2,263,753.81
  5. Step 5: Solve for x
    x = 2,263,753.81/1,945.83
  6. Step 6: Final answer
    x = 1,163.39

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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.