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Finding the Fourth Proportional to 3,449.72, 4,760.44 and 1,957.78

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Solution

The fourth proportional to 3,449.72, 4,760.44 and 1,957.78 is: 2,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.72 : 4,760.44 = 1,957.78 : x
  2. Step 2: Convert to fraction form
    3,449.72/4,760.44 = 1,957.78/x
  3. Step 3: Cross multiply
    3,449.72x = 4,760.44 × 1,957.78
  4. Step 4: Simplify right side
    3,449.72x = 9,319,894.22
  5. Step 5: Solve for x
    x = 9,319,894.22/3,449.72
  6. Step 6: Final answer
    x = 2,701.64

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1.5x scale

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.