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Finding the Fourth Proportional to 4,958.54, 7,431.38 and 3,784.20

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Solution

The fourth proportional to 4,958.54, 7,431.38 and 3,784.20 is: 5,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.54 : 7,431.38 = 3,784.20 : x
  2. Step 2: Convert to fraction form
    4,958.54/7,431.38 = 3,784.20/x
  3. Step 3: Cross multiply
    4,958.54x = 7,431.38 × 3,784.20
  4. Step 4: Simplify right side
    4,958.54x = 28,121,828.20
  5. Step 5: Solve for x
    x = 28,121,828.20/4,958.54
  6. Step 6: Final answer
    x = 5,671.39

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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.