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Finding the Fourth Proportional to 7,608, 11,411.74 and 3,448.02

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Solution

The fourth proportional to 7,608, 11,411.74 and 3,448.02 is: 5,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608 : 11,411.74 = 3,448.02 : x
  2. Step 2: Convert to fraction form
    7,608/11,411.74 = 3,448.02/x
  3. Step 3: Cross multiply
    7,608x = 11,411.74 × 3,448.02
  4. Step 4: Simplify right side
    7,608x = 39,347,907.75
  5. Step 5: Solve for x
    x = 39,347,907.75/7,608
  6. Step 6: Final answer
    x = 5,171.91

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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.