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Finding the Fourth Proportional to 3,449.74, 4,759.86 and 1,957.30

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Solution

The fourth proportional to 3,449.74, 4,759.86 and 1,957.30 is: 2,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.74 : 4,759.86 = 1,957.30 : x
  2. Step 2: Convert to fraction form
    3,449.74/4,759.86 = 1,957.30/x
  3. Step 3: Cross multiply
    3,449.74x = 4,759.86 × 1,957.30
  4. Step 4: Simplify right side
    3,449.74x = 9,316,473.98
  5. Step 5: Solve for x
    x = 9,316,473.98/3,449.74
  6. Step 6: Final answer
    x = 2,700.63

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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.