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Finding the Fourth Proportional to 3,965.34, 5,975.88 and 3,570.50

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Solution

The fourth proportional to 3,965.34, 5,975.88 and 3,570.50 is: 5,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.34 : 5,975.88 = 3,570.50 : x
  2. Step 2: Convert to fraction form
    3,965.34/5,975.88 = 3,570.50/x
  3. Step 3: Cross multiply
    3,965.34x = 5,975.88 × 3,570.50
  4. Step 4: Simplify right side
    3,965.34x = 21,336,891.13
  5. Step 5: Solve for x
    x = 21,336,891.13/3,965.34
  6. Step 6: Final answer
    x = 5,380.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.