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Finding the Fourth Proportional to 3,426.48, 5,141.88 and 1,968.48

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Solution

The fourth proportional to 3,426.48, 5,141.88 and 1,968.48 is: 2,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.48 : 5,141.88 = 1,968.48 : x
  2. Step 2: Convert to fraction form
    3,426.48/5,141.88 = 1,968.48/x
  3. Step 3: Cross multiply
    3,426.48x = 5,141.88 × 1,968.48
  4. Step 4: Simplify right side
    3,426.48x = 10,121,687.94
  5. Step 5: Solve for x
    x = 10,121,687.94/3,426.48
  6. Step 6: Final answer
    x = 2,953.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.