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Finding the Fourth Proportional to 3,968.65, 5,460.64 and 3,257.88

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Solution

The fourth proportional to 3,968.65, 5,460.64 and 3,257.88 is: 4,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.65 : 5,460.64 = 3,257.88 : x
  2. Step 2: Convert to fraction form
    3,968.65/5,460.64 = 3,257.88/x
  3. Step 3: Cross multiply
    3,968.65x = 5,460.64 × 3,257.88
  4. Step 4: Simplify right side
    3,968.65x = 17,790,109.84
  5. Step 5: Solve for x
    x = 17,790,109.84/3,968.65
  6. Step 6: Final answer
    x = 4,482.66

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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.