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Finding the Fourth Proportional to 3,004.78, 4,506.74 and 813.64

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Solution

The fourth proportional to 3,004.78, 4,506.74 and 813.64 is: 1,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.78 : 4,506.74 = 813.64 : x
  2. Step 2: Convert to fraction form
    3,004.78/4,506.74 = 813.64/x
  3. Step 3: Cross multiply
    3,004.78x = 4,506.74 × 813.64
  4. Step 4: Simplify right side
    3,004.78x = 3,666,863.93
  5. Step 5: Solve for x
    x = 3,666,863.93/3,004.78
  6. Step 6: Final answer
    x = 1,220.34

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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.