Home / 2,571.30-3,856.80-1,408.64

Finding the Fourth Proportional to 2,571.30, 3,856.80 and 1,408.64

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Solution

The fourth proportional to 2,571.30, 3,856.80 and 1,408.64 is: 2,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.30 : 3,856.80 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    2,571.30/3,856.80 = 1,408.64/x
  3. Step 3: Cross multiply
    2,571.30x = 3,856.80 × 1,408.64
  4. Step 4: Simplify right side
    2,571.30x = 5,432,823.47
  5. Step 5: Solve for x
    x = 5,432,823.47/2,571.30
  6. Step 6: Final answer
    x = 2,112.87

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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.