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Finding the Fourth Proportional to 2,451.02, 3,676.05 and 719.18

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Solution

The fourth proportional to 2,451.02, 3,676.05 and 719.18 is: 1,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.02 : 3,676.05 = 719.18 : x
  2. Step 2: Convert to fraction form
    2,451.02/3,676.05 = 719.18/x
  3. Step 3: Cross multiply
    2,451.02x = 3,676.05 × 719.18
  4. Step 4: Simplify right side
    2,451.02x = 2,643,741.64
  5. Step 5: Solve for x
    x = 2,643,741.64/2,451.02
  6. Step 6: Final answer
    x = 1,078.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.