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Finding the Fourth Proportional to 3,006.09, 4,509.63 and 815.00

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Solution

The fourth proportional to 3,006.09, 4,509.63 and 815.00 is: 1,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.09 : 4,509.63 = 815.00 : x
  2. Step 2: Convert to fraction form
    3,006.09/4,509.63 = 815.00/x
  3. Step 3: Cross multiply
    3,006.09x = 4,509.63 × 815.00
  4. Step 4: Simplify right side
    3,006.09x = 3,675,325.90
  5. Step 5: Solve for x
    x = 3,675,325.90/3,006.09
  6. Step 6: Final answer
    x = 1,222.63

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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.