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Finding the Fourth Proportional to 2,571.96, 3,858.30 and 840.54

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Solution

The fourth proportional to 2,571.96, 3,858.30 and 840.54 is: 1,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.96 : 3,858.30 = 840.54 : x
  2. Step 2: Convert to fraction form
    2,571.96/3,858.30 = 840.54/x
  3. Step 3: Cross multiply
    2,571.96x = 3,858.30 × 840.54
  4. Step 4: Simplify right side
    2,571.96x = 3,243,055.48
  5. Step 5: Solve for x
    x = 3,243,055.48/2,571.96
  6. Step 6: Final answer
    x = 1,260.93

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1.5x scale

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.