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Finding the Fourth Proportional to 1,964.43, 2,713.28 and 1,705.68

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Solution

The fourth proportional to 1,964.43, 2,713.28 and 1,705.68 is: 2,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.43 : 2,713.28 = 1,705.68 : x
  2. Step 2: Convert to fraction form
    1,964.43/2,713.28 = 1,705.68/x
  3. Step 3: Cross multiply
    1,964.43x = 2,713.28 × 1,705.68
  4. Step 4: Simplify right side
    1,964.43x = 4,627,978.90
  5. Step 5: Solve for x
    x = 4,627,978.90/1,964.43
  6. Step 6: Final answer
    x = 2,355.89

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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.