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Finding the Fourth Proportional to 2,965.95, 4,448.54 and 774.86

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Solution

The fourth proportional to 2,965.95, 4,448.54 and 774.86 is: 1,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.95 : 4,448.54 = 774.86 : x
  2. Step 2: Convert to fraction form
    2,965.95/4,448.54 = 774.86/x
  3. Step 3: Cross multiply
    2,965.95x = 4,448.54 × 774.86
  4. Step 4: Simplify right side
    2,965.95x = 3,446,969.59
  5. Step 5: Solve for x
    x = 3,446,969.59/2,965.95
  6. Step 6: Final answer
    x = 1,162.18

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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.