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Finding the Fourth Proportional to 3,393.46, 4,682.09 and 1,957.47

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Solution

The fourth proportional to 3,393.46, 4,682.09 and 1,957.47 is: 2,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.46 : 4,682.09 = 1,957.47 : x
  2. Step 2: Convert to fraction form
    3,393.46/4,682.09 = 1,957.47/x
  3. Step 3: Cross multiply
    3,393.46x = 4,682.09 × 1,957.47
  4. Step 4: Simplify right side
    3,393.46x = 9,165,050.71
  5. Step 5: Solve for x
    x = 9,165,050.71/3,393.46
  6. Step 6: Final answer
    x = 2,700.80

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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.