Home / 2,838.96-3,917.72-1,580

Finding the Fourth Proportional to 2,838.96, 3,917.72 and 1,580

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Solution

The fourth proportional to 2,838.96, 3,917.72 and 1,580 is: 2,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.96 : 3,917.72 = 1,580 : x
  2. Step 2: Convert to fraction form
    2,838.96/3,917.72 = 1,580/x
  3. Step 3: Cross multiply
    2,838.96x = 3,917.72 × 1,580
  4. Step 4: Simplify right side
    2,838.96x = 6,189,997.60
  5. Step 5: Solve for x
    x = 6,189,997.60/2,838.96
  6. Step 6: Final answer
    x = 2,180.38

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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.