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Finding the Fourth Proportional to 2,648.22, 3,653.80 and 1,654.50

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Solution

The fourth proportional to 2,648.22, 3,653.80 and 1,654.50 is: 2,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.22 : 3,653.80 = 1,654.50 : x
  2. Step 2: Convert to fraction form
    2,648.22/3,653.80 = 1,654.50/x
  3. Step 3: Cross multiply
    2,648.22x = 3,653.80 × 1,654.50
  4. Step 4: Simplify right side
    2,648.22x = 6,045,221.67
  5. Step 5: Solve for x
    x = 6,045,221.67/2,648.22
  6. Step 6: Final answer
    x = 2,282.75

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