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Finding the Fourth Proportional to 2,005.14, 3,006.63 and 618.06

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Solution

The fourth proportional to 2,005.14, 3,006.63 and 618.06 is: 926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.14 : 3,006.63 = 618.06 : x
  2. Step 2: Convert to fraction form
    2,005.14/3,006.63 = 618.06/x
  3. Step 3: Cross multiply
    2,005.14x = 3,006.63 × 618.06
  4. Step 4: Simplify right side
    2,005.14x = 1,858,277.74
  5. Step 5: Solve for x
    x = 1,858,277.74/2,005.14
  6. Step 6: Final answer
    x = 926.76

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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.