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Finding the Fourth Proportional to 3,408.90, 4,704.78 and 1,916.94

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Solution

The fourth proportional to 3,408.90, 4,704.78 and 1,916.94 is: 2,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.90 : 4,704.78 = 1,916.94 : x
  2. Step 2: Convert to fraction form
    3,408.90/4,704.78 = 1,916.94/x
  3. Step 3: Cross multiply
    3,408.90x = 4,704.78 × 1,916.94
  4. Step 4: Simplify right side
    3,408.90x = 9,018,780.97
  5. Step 5: Solve for x
    x = 9,018,780.97/3,408.90
  6. Step 6: Final answer
    x = 2,645.66

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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.