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Finding the Fourth Proportional to 3,868.17, 5,804.70 and 1,647.00

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Solution

The fourth proportional to 3,868.17, 5,804.70 and 1,647.00 is: 2,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.17 : 5,804.70 = 1,647.00 : x
  2. Step 2: Convert to fraction form
    3,868.17/5,804.70 = 1,647.00/x
  3. Step 3: Cross multiply
    3,868.17x = 5,804.70 × 1,647.00
  4. Step 4: Simplify right side
    3,868.17x = 9,560,351.29
  5. Step 5: Solve for x
    x = 9,560,351.29/3,868.17
  6. Step 6: Final answer
    x = 2,471.54

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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.