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Finding the Fourth Proportional to 3,179.79, 4,388.10 and 1,782.54

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Solution

The fourth proportional to 3,179.79, 4,388.10 and 1,782.54 is: 2,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.79 : 4,388.10 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    3,179.79/4,388.10 = 1,782.54/x
  3. Step 3: Cross multiply
    3,179.79x = 4,388.10 × 1,782.54
  4. Step 4: Simplify right side
    3,179.79x = 7,821,954.86
  5. Step 5: Solve for x
    x = 7,821,954.86/3,179.79
  6. Step 6: Final answer
    x = 2,459.90

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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.