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Finding the Fourth Proportional to 2,418.34, 3,627.63 and 774.76

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Solution

The fourth proportional to 2,418.34, 3,627.63 and 774.76 is: 1,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.34 : 3,627.63 = 774.76 : x
  2. Step 2: Convert to fraction form
    2,418.34/3,627.63 = 774.76/x
  3. Step 3: Cross multiply
    2,418.34x = 3,627.63 × 774.76
  4. Step 4: Simplify right side
    2,418.34x = 2,810,542.62
  5. Step 5: Solve for x
    x = 2,810,542.62/2,418.34
  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.