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Finding the Fourth Proportional to 7,072.56, 9,759.63 and 3,928.50

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Solution

The fourth proportional to 7,072.56, 9,759.63 and 3,928.50 is: 5,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.56 : 9,759.63 = 3,928.50 : x
  2. Step 2: Convert to fraction form
    7,072.56/9,759.63 = 3,928.50/x
  3. Step 3: Cross multiply
    7,072.56x = 9,759.63 × 3,928.50
  4. Step 4: Simplify right side
    7,072.56x = 38,340,706.46
  5. Step 5: Solve for x
    x = 38,340,706.46/7,072.56
  6. Step 6: Final answer
    x = 5,421.05

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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.