Home / 3,206.83-4,809.93-1,564.51

Finding the Fourth Proportional to 3,206.83, 4,809.93 and 1,564.51

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Solution

The fourth proportional to 3,206.83, 4,809.93 and 1,564.51 is: 2,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.83 : 4,809.93 = 1,564.51 : x
  2. Step 2: Convert to fraction form
    3,206.83/4,809.93 = 1,564.51/x
  3. Step 3: Cross multiply
    3,206.83x = 4,809.93 × 1,564.51
  4. Step 4: Simplify right side
    3,206.83x = 7,525,173.66
  5. Step 5: Solve for x
    x = 7,525,173.66/3,206.83
  6. Step 6: Final answer
    x = 2,346.61

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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.