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Finding the Fourth Proportional to 2,469.42, 3,408.08 and 1,421.46

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Solution

The fourth proportional to 2,469.42, 3,408.08 and 1,421.46 is: 1,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.42 : 3,408.08 = 1,421.46 : x
  2. Step 2: Convert to fraction form
    2,469.42/3,408.08 = 1,421.46/x
  3. Step 3: Cross multiply
    2,469.42x = 3,408.08 × 1,421.46
  4. Step 4: Simplify right side
    2,469.42x = 4,844,442.29
  5. Step 5: Solve for x
    x = 4,844,442.29/2,469.42
  6. Step 6: Final answer
    x = 1,961.77

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1.5x scale

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.