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Finding the Fourth Proportional to 6,469.54, 9,703.97 and 2,087.00

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Solution

The fourth proportional to 6,469.54, 9,703.97 and 2,087.00 is: 3,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.54 : 9,703.97 = 2,087.00 : x
  2. Step 2: Convert to fraction form
    6,469.54/9,703.97 = 2,087.00/x
  3. Step 3: Cross multiply
    6,469.54x = 9,703.97 × 2,087.00
  4. Step 4: Simplify right side
    6,469.54x = 20,252,126.44
  5. Step 5: Solve for x
    x = 20,252,126.44/6,469.54
  6. Step 6: Final answer
    x = 3,130.38

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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.