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Finding the Fourth Proportional to 3,448.80, 4,759 and 1,956.48

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Solution

The fourth proportional to 3,448.80, 4,759 and 1,956.48 is: 2,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.80 : 4,759 = 1,956.48 : x
  2. Step 2: Convert to fraction form
    3,448.80/4,759 = 1,956.48/x
  3. Step 3: Cross multiply
    3,448.80x = 4,759 × 1,956.48
  4. Step 4: Simplify right side
    3,448.80x = 9,310,888.32
  5. Step 5: Solve for x
    x = 9,310,888.32/3,448.80
  6. Step 6: Final answer
    x = 2,699.75

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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.