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Finding the Fourth Proportional to 2,004.06, 3,006.30 and 772.50

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Solution

The fourth proportional to 2,004.06, 3,006.30 and 772.50 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.06 : 3,006.30 = 772.50 : x
  2. Step 2: Convert to fraction form
    2,004.06/3,006.30 = 772.50/x
  3. Step 3: Cross multiply
    2,004.06x = 3,006.30 × 772.50
  4. Step 4: Simplify right side
    2,004.06x = 2,322,366.75
  5. Step 5: Solve for x
    x = 2,322,366.75/2,004.06
  6. Step 6: Final answer
    x = 1,158.83

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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.