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Finding the Fourth Proportional to 1,643.74, 2,462.73 and 1,383.46

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Solution

The fourth proportional to 1,643.74, 2,462.73 and 1,383.46 is: 2,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.74 : 2,462.73 = 1,383.46 : x
  2. Step 2: Convert to fraction form
    1,643.74/2,462.73 = 1,383.46/x
  3. Step 3: Cross multiply
    1,643.74x = 2,462.73 × 1,383.46
  4. Step 4: Simplify right side
    1,643.74x = 3,407,088.45
  5. Step 5: Solve for x
    x = 3,407,088.45/1,643.74
  6. Step 6: Final answer
    x = 2,072.77

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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.