Home / 3,206.93-4,802.69-1,642.82

Finding the Fourth Proportional to 3,206.93, 4,802.69 and 1,642.82

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Solution

The fourth proportional to 3,206.93, 4,802.69 and 1,642.82 is: 2,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.93 : 4,802.69 = 1,642.82 : x
  2. Step 2: Convert to fraction form
    3,206.93/4,802.69 = 1,642.82/x
  3. Step 3: Cross multiply
    3,206.93x = 4,802.69 × 1,642.82
  4. Step 4: Simplify right side
    3,206.93x = 7,889,935.28
  5. Step 5: Solve for x
    x = 7,889,935.28/3,206.93
  6. Step 6: Final answer
    x = 2,460.28

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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.