Home / 3,494.09-5,242.31-1,412.98

Finding the Fourth Proportional to 3,494.09, 5,242.31 and 1,412.98

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Solution

The fourth proportional to 3,494.09, 5,242.31 and 1,412.98 is: 2,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.09 : 5,242.31 = 1,412.98 : x
  2. Step 2: Convert to fraction form
    3,494.09/5,242.31 = 1,412.98/x
  3. Step 3: Cross multiply
    3,494.09x = 5,242.31 × 1,412.98
  4. Step 4: Simplify right side
    3,494.09x = 7,407,264.31
  5. Step 5: Solve for x
    x = 7,407,264.31/3,494.09
  6. Step 6: Final answer
    x = 2,119.94

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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.