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Finding the Fourth Proportional to 3,041, 4,196.78 and 1,782.46

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Solution

The fourth proportional to 3,041, 4,196.78 and 1,782.46 is: 2,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041 : 4,196.78 = 1,782.46 : x
  2. Step 2: Convert to fraction form
    3,041/4,196.78 = 1,782.46/x
  3. Step 3: Cross multiply
    3,041x = 4,196.78 × 1,782.46
  4. Step 4: Simplify right side
    3,041x = 7,480,592.48
  5. Step 5: Solve for x
    x = 7,480,592.48/3,041
  6. Step 6: Final answer
    x = 2,459.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.