Home / 2,418.42-3,627.37-776.14

Finding the Fourth Proportional to 2,418.42, 3,627.37 and 776.14

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Solution

The fourth proportional to 2,418.42, 3,627.37 and 776.14 is: 1,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.42 : 3,627.37 = 776.14 : x
  2. Step 2: Convert to fraction form
    2,418.42/3,627.37 = 776.14/x
  3. Step 3: Cross multiply
    2,418.42x = 3,627.37 × 776.14
  4. Step 4: Simplify right side
    2,418.42x = 2,815,346.95
  5. Step 5: Solve for x
    x = 2,815,346.95/2,418.42
  6. Step 6: Final answer
    x = 1,164.13

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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.