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Finding the Fourth Proportional to 2,840.36, 4,260.72 and 892.64

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Solution

The fourth proportional to 2,840.36, 4,260.72 and 892.64 is: 1,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.36 : 4,260.72 = 892.64 : x
  2. Step 2: Convert to fraction form
    2,840.36/4,260.72 = 892.64/x
  3. Step 3: Cross multiply
    2,840.36x = 4,260.72 × 892.64
  4. Step 4: Simplify right side
    2,840.36x = 3,803,289.10
  5. Step 5: Solve for x
    x = 3,803,289.10/2,840.36
  6. Step 6: Final answer
    x = 1,339.02

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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.