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Finding the Fourth Proportional to 6,087.47, 9,120.24 and 5,661

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Solution

The fourth proportional to 6,087.47, 9,120.24 and 5,661 is: 8,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.47 : 9,120.24 = 5,661 : x
  2. Step 2: Convert to fraction form
    6,087.47/9,120.24 = 5,661/x
  3. Step 3: Cross multiply
    6,087.47x = 9,120.24 × 5,661
  4. Step 4: Simplify right side
    6,087.47x = 51,629,678.64
  5. Step 5: Solve for x
    x = 51,629,678.64/6,087.47
  6. Step 6: Final answer
    x = 8,481.31

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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.