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Finding the Fourth Proportional to 3,479.81, 4,802.20 and 1,907.82

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Solution

The fourth proportional to 3,479.81, 4,802.20 and 1,907.82 is: 2,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.81 : 4,802.20 = 1,907.82 : x
  2. Step 2: Convert to fraction form
    3,479.81/4,802.20 = 1,907.82/x
  3. Step 3: Cross multiply
    3,479.81x = 4,802.20 × 1,907.82
  4. Step 4: Simplify right side
    3,479.81x = 9,161,728.43
  5. Step 5: Solve for x
    x = 9,161,728.43/3,479.81
  6. Step 6: Final answer
    x = 2,632.83

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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.