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Finding the Fourth Proportional to 2,004.94, 3,007.34 and 618.35

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Solution

The fourth proportional to 2,004.94, 3,007.34 and 618.35 is: 927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.94 : 3,007.34 = 618.35 : x
  2. Step 2: Convert to fraction form
    2,004.94/3,007.34 = 618.35/x
  3. Step 3: Cross multiply
    2,004.94x = 3,007.34 × 618.35
  4. Step 4: Simplify right side
    2,004.94x = 1,859,585.60
  5. Step 5: Solve for x
    x = 1,859,585.60/2,004.94
  6. Step 6: Final answer
    x = 927.50

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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.