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Finding the Fourth Proportional to 2,451.40, 3,670.72 and 1,354.25

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Solution

The fourth proportional to 2,451.40, 3,670.72 and 1,354.25 is: 2,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.40 : 3,670.72 = 1,354.25 : x
  2. Step 2: Convert to fraction form
    2,451.40/3,670.72 = 1,354.25/x
  3. Step 3: Cross multiply
    2,451.40x = 3,670.72 × 1,354.25
  4. Step 4: Simplify right side
    2,451.40x = 4,971,078.35
  5. Step 5: Solve for x
    x = 4,971,078.35/2,451.40
  6. Step 6: Final answer
    x = 2,027.85

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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.