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Finding the Fourth Proportional to 2,813.63, 4,223.37 and 2,074.08

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Solution

The fourth proportional to 2,813.63, 4,223.37 and 2,074.08 is: 3,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.63 : 4,223.37 = 2,074.08 : x
  2. Step 2: Convert to fraction form
    2,813.63/4,223.37 = 2,074.08/x
  3. Step 3: Cross multiply
    2,813.63x = 4,223.37 × 2,074.08
  4. Step 4: Simplify right side
    2,813.63x = 8,759,607.25
  5. Step 5: Solve for x
    x = 8,759,607.25/2,813.63
  6. Step 6: Final answer
    x = 3,113.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.