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Finding the Fourth Proportional to 2,765.45, 3,813.82 and 1,820.45

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Solution

The fourth proportional to 2,765.45, 3,813.82 and 1,820.45 is: 2,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.45 : 3,813.82 = 1,820.45 : x
  2. Step 2: Convert to fraction form
    2,765.45/3,813.82 = 1,820.45/x
  3. Step 3: Cross multiply
    2,765.45x = 3,813.82 × 1,820.45
  4. Step 4: Simplify right side
    2,765.45x = 6,942,873.60
  5. Step 5: Solve for x
    x = 6,942,873.60/2,765.45
  6. Step 6: Final answer
    x = 2,510.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.