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Finding the Fourth Proportional to 7,153.69, 10,728.97 and 3,639.97

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Solution

The fourth proportional to 7,153.69, 10,728.97 and 3,639.97 is: 5,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.69 : 10,728.97 = 3,639.97 : x
  2. Step 2: Convert to fraction form
    7,153.69/10,728.97 = 3,639.97/x
  3. Step 3: Cross multiply
    7,153.69x = 10,728.97 × 3,639.97
  4. Step 4: Simplify right side
    7,153.69x = 39,053,128.93
  5. Step 5: Solve for x
    x = 39,053,128.93/7,153.69
  6. Step 6: Final answer
    x = 5,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.