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Finding the Fourth Proportional to 2,782.77, 3,840.26 and 1,735.44

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Solution

The fourth proportional to 2,782.77, 3,840.26 and 1,735.44 is: 2,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.77 : 3,840.26 = 1,735.44 : x
  2. Step 2: Convert to fraction form
    2,782.77/3,840.26 = 1,735.44/x
  3. Step 3: Cross multiply
    2,782.77x = 3,840.26 × 1,735.44
  4. Step 4: Simplify right side
    2,782.77x = 6,664,532.14
  5. Step 5: Solve for x
    x = 6,664,532.14/2,782.77
  6. Step 6: Final answer
    x = 2,394.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.