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Finding the Fourth Proportional to 3,408.64, 4,704.12 and 1,916.56

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Solution

The fourth proportional to 3,408.64, 4,704.12 and 1,916.56 is: 2,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.64 : 4,704.12 = 1,916.56 : x
  2. Step 2: Convert to fraction form
    3,408.64/4,704.12 = 1,916.56/x
  3. Step 3: Cross multiply
    3,408.64x = 4,704.12 × 1,916.56
  4. Step 4: Simplify right side
    3,408.64x = 9,015,728.23
  5. Step 5: Solve for x
    x = 9,015,728.23/3,408.64
  6. Step 6: Final answer
    x = 2,644.96

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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.