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Finding the Fourth Proportional to 4,830.57, 7,238.57 and 3,788.10

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Solution

The fourth proportional to 4,830.57, 7,238.57 and 3,788.10 is: 5,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.57 : 7,238.57 = 3,788.10 : x
  2. Step 2: Convert to fraction form
    4,830.57/7,238.57 = 3,788.10/x
  3. Step 3: Cross multiply
    4,830.57x = 7,238.57 × 3,788.10
  4. Step 4: Simplify right side
    4,830.57x = 27,420,408.08
  5. Step 5: Solve for x
    x = 27,420,408.08/4,830.57
  6. Step 6: Final answer
    x = 5,676.43

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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.