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Finding the Fourth Proportional to 3,480.34, 4,802.83 and 1,908.43

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Solution

The fourth proportional to 3,480.34, 4,802.83 and 1,908.43 is: 2,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.34 : 4,802.83 = 1,908.43 : x
  2. Step 2: Convert to fraction form
    3,480.34/4,802.83 = 1,908.43/x
  3. Step 3: Cross multiply
    3,480.34x = 4,802.83 × 1,908.43
  4. Step 4: Simplify right side
    3,480.34x = 9,165,864.86
  5. Step 5: Solve for x
    x = 9,165,864.86/3,480.34
  6. Step 6: Final answer
    x = 2,633.61

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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.