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Finding the Fourth Proportional to 3,083.85, 4,627.80 and 2,259.61

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Solution

The fourth proportional to 3,083.85, 4,627.80 and 2,259.61 is: 3,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.85 : 4,627.80 = 2,259.61 : x
  2. Step 2: Convert to fraction form
    3,083.85/4,627.80 = 2,259.61/x
  3. Step 3: Cross multiply
    3,083.85x = 4,627.80 × 2,259.61
  4. Step 4: Simplify right side
    3,083.85x = 10,457,023.16
  5. Step 5: Solve for x
    x = 10,457,023.16/3,083.85
  6. Step 6: Final answer
    x = 3,390.90

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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.