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Finding the Fourth Proportional to 2,733.08, 4,099.60 and 785.28

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Solution

The fourth proportional to 2,733.08, 4,099.60 and 785.28 is: 1,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.08 : 4,099.60 = 785.28 : x
  2. Step 2: Convert to fraction form
    2,733.08/4,099.60 = 785.28/x
  3. Step 3: Cross multiply
    2,733.08x = 4,099.60 × 785.28
  4. Step 4: Simplify right side
    2,733.08x = 3,219,333.89
  5. Step 5: Solve for x
    x = 3,219,333.89/2,733.08
  6. Step 6: Final answer
    x = 1,177.91

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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.