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Finding the Fourth Proportional to 4,940.09, 7,410.02 and 1,242.30

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Solution

The fourth proportional to 4,940.09, 7,410.02 and 1,242.30 is: 1,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.09 : 7,410.02 = 1,242.30 : x
  2. Step 2: Convert to fraction form
    4,940.09/7,410.02 = 1,242.30/x
  3. Step 3: Cross multiply
    4,940.09x = 7,410.02 × 1,242.30
  4. Step 4: Simplify right side
    4,940.09x = 9,205,467.85
  5. Step 5: Solve for x
    x = 9,205,467.85/4,940.09
  6. Step 6: Final answer
    x = 1,863.42

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1.5x scale

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.