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Finding the Fourth Proportional to 2,654.30, 3,973.25 and 1,418.65

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Solution

The fourth proportional to 2,654.30, 3,973.25 and 1,418.65 is: 2,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.30 : 3,973.25 = 1,418.65 : x
  2. Step 2: Convert to fraction form
    2,654.30/3,973.25 = 1,418.65/x
  3. Step 3: Cross multiply
    2,654.30x = 3,973.25 × 1,418.65
  4. Step 4: Simplify right side
    2,654.30x = 5,636,644.73
  5. Step 5: Solve for x
    x = 5,636,644.73/2,654.30
  6. Step 6: Final answer
    x = 2,123.59

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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.