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Finding the Fourth Proportional to 3,920.76, 5,416.02 and 3,046.68

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Solution

The fourth proportional to 3,920.76, 5,416.02 and 3,046.68 is: 4,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.76 : 5,416.02 = 3,046.68 : x
  2. Step 2: Convert to fraction form
    3,920.76/5,416.02 = 3,046.68/x
  3. Step 3: Cross multiply
    3,920.76x = 5,416.02 × 3,046.68
  4. Step 4: Simplify right side
    3,920.76x = 16,500,879.81
  5. Step 5: Solve for x
    x = 16,500,879.81/3,920.76
  6. Step 6: Final answer
    x = 4,208.59

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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.