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Finding the Fourth Proportional to 2,813.59, 4,217.95 and 1,081

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Solution

The fourth proportional to 2,813.59, 4,217.95 and 1,081 is: 1,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.59 : 4,217.95 = 1,081 : x
  2. Step 2: Convert to fraction form
    2,813.59/4,217.95 = 1,081/x
  3. Step 3: Cross multiply
    2,813.59x = 4,217.95 × 1,081
  4. Step 4: Simplify right side
    2,813.59x = 4,559,603.95
  5. Step 5: Solve for x
    x = 4,559,603.95/2,813.59
  6. Step 6: Final answer
    x = 1,620.56

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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.