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Finding the Fourth Proportional to 2,004.88, 3,007.34 and 618.20

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Solution

The fourth proportional to 2,004.88, 3,007.34 and 618.20 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.88 : 3,007.34 = 618.20 : x
  2. Step 2: Convert to fraction form
    2,004.88/3,007.34 = 618.20/x
  3. Step 3: Cross multiply
    2,004.88x = 3,007.34 × 618.20
  4. Step 4: Simplify right side
    2,004.88x = 1,859,145.11
  5. Step 5: Solve for x
    x = 1,859,145.11/2,004.88
  6. Step 6: Final answer
    x = 927.31

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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.