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Finding the Fourth Proportional to 3,959.04, 5,932.16 and 3,408.64

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Solution

The fourth proportional to 3,959.04, 5,932.16 and 3,408.64 is: 5,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.04 : 5,932.16 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    3,959.04/5,932.16 = 3,408.64/x
  3. Step 3: Cross multiply
    3,959.04x = 5,932.16 × 3,408.64
  4. Step 4: Simplify right side
    3,959.04x = 20,220,597.86
  5. Step 5: Solve for x
    x = 20,220,597.86/3,959.04
  6. Step 6: Final answer
    x = 5,107.45

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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.