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Finding the Fourth Proportional to 3,504.78, 4,834.22 and 2,977.20

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Solution

The fourth proportional to 3,504.78, 4,834.22 and 2,977.20 is: 4,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 4,834.22 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    3,504.78/4,834.22 = 2,977.20/x
  3. Step 3: Cross multiply
    3,504.78x = 4,834.22 × 2,977.20
  4. Step 4: Simplify right side
    3,504.78x = 14,392,424.90
  5. Step 5: Solve for x
    x = 14,392,424.90/3,504.78
  6. Step 6: Final answer
    x = 4,106.51

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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.