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Finding the Fourth Proportional to 2,940.56, 4,406.04 and 1,782.80

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Solution

The fourth proportional to 2,940.56, 4,406.04 and 1,782.80 is: 2,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.56 : 4,406.04 = 1,782.80 : x
  2. Step 2: Convert to fraction form
    2,940.56/4,406.04 = 1,782.80/x
  3. Step 3: Cross multiply
    2,940.56x = 4,406.04 × 1,782.80
  4. Step 4: Simplify right side
    2,940.56x = 7,855,088.11
  5. Step 5: Solve for x
    x = 7,855,088.11/2,940.56
  6. Step 6: Final answer
    x = 2,671.29

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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.