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Finding the Fourth Proportional to 2,451.89, 3,678.11 and 892.63

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Solution

The fourth proportional to 2,451.89, 3,678.11 and 892.63 is: 1,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.89 : 3,678.11 = 892.63 : x
  2. Step 2: Convert to fraction form
    2,451.89/3,678.11 = 892.63/x
  3. Step 3: Cross multiply
    2,451.89x = 3,678.11 × 892.63
  4. Step 4: Simplify right side
    2,451.89x = 3,283,194.81
  5. Step 5: Solve for x
    x = 3,283,194.81/2,451.89
  6. Step 6: Final answer
    x = 1,339.05

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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.