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Finding the Fourth Proportional to 7,072, 9,759.36 and 3,928.84

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Solution

The fourth proportional to 7,072, 9,759.36 and 3,928.84 is: 5,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072 : 9,759.36 = 3,928.84 : x
  2. Step 2: Convert to fraction form
    7,072/9,759.36 = 3,928.84/x
  3. Step 3: Cross multiply
    7,072x = 9,759.36 × 3,928.84
  4. Step 4: Simplify right side
    7,072x = 38,342,963.94
  5. Step 5: Solve for x
    x = 38,342,963.94/7,072
  6. Step 6: Final answer
    x = 5,421.80

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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.