Home / 3,208.16-4,422.48-1,964

Finding the Fourth Proportional to 3,208.16, 4,422.48 and 1,964

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Solution

The fourth proportional to 3,208.16, 4,422.48 and 1,964 is: 2,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.16 : 4,422.48 = 1,964 : x
  2. Step 2: Convert to fraction form
    3,208.16/4,422.48 = 1,964/x
  3. Step 3: Cross multiply
    3,208.16x = 4,422.48 × 1,964
  4. Step 4: Simplify right side
    3,208.16x = 8,685,750.72
  5. Step 5: Solve for x
    x = 8,685,750.72/3,208.16
  6. Step 6: Final answer
    x = 2,707.39

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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.