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Finding the Fourth Proportional to 3,919.68, 5,409.48 and 3,081.88

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Solution

The fourth proportional to 3,919.68, 5,409.48 and 3,081.88 is: 4,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.68 : 5,409.48 = 3,081.88 : x
  2. Step 2: Convert to fraction form
    3,919.68/5,409.48 = 3,081.88/x
  3. Step 3: Cross multiply
    3,919.68x = 5,409.48 × 3,081.88
  4. Step 4: Simplify right side
    3,919.68x = 16,671,368.22
  5. Step 5: Solve for x
    x = 16,671,368.22/3,919.68
  6. Step 6: Final answer
    x = 4,253.25

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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.