Home / 1,542.08-2,321.44-1,408.16

Finding the Fourth Proportional to 1,542.08, 2,321.44 and 1,408.16

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Solution

The fourth proportional to 1,542.08, 2,321.44 and 1,408.16 is: 2,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.08 : 2,321.44 = 1,408.16 : x
  2. Step 2: Convert to fraction form
    1,542.08/2,321.44 = 1,408.16/x
  3. Step 3: Cross multiply
    1,542.08x = 2,321.44 × 1,408.16
  4. Step 4: Simplify right side
    1,542.08x = 3,268,958.95
  5. Step 5: Solve for x
    x = 3,268,958.95/1,542.08
  6. Step 6: Final answer
    x = 2,119.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.