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Finding the Fourth Proportional to 4,302.89, 6,454.88 and 1,380.41

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Solution

The fourth proportional to 4,302.89, 6,454.88 and 1,380.41 is: 2,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.89 : 6,454.88 = 1,380.41 : x
  2. Step 2: Convert to fraction form
    4,302.89/6,454.88 = 1,380.41/x
  3. Step 3: Cross multiply
    4,302.89x = 6,454.88 × 1,380.41
  4. Step 4: Simplify right side
    4,302.89x = 8,910,374.00
  5. Step 5: Solve for x
    x = 8,910,374.00/4,302.89
  6. Step 6: Final answer
    x = 2,070.79

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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.