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Finding the Fourth Proportional to 7,219, 9,962.28 and 3,907

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Solution

The fourth proportional to 7,219, 9,962.28 and 3,907 is: 5,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219 : 9,962.28 = 3,907 : x
  2. Step 2: Convert to fraction form
    7,219/9,962.28 = 3,907/x
  3. Step 3: Cross multiply
    7,219x = 9,962.28 × 3,907
  4. Step 4: Simplify right side
    7,219x = 38,922,627.96
  5. Step 5: Solve for x
    x = 38,922,627.96/7,219
  6. Step 6: Final answer
    x = 5,391.69

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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.