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Finding the Fourth Proportional to 3,449.81, 4,760.84 and 1,878.01

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Solution

The fourth proportional to 3,449.81, 4,760.84 and 1,878.01 is: 2,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.81 : 4,760.84 = 1,878.01 : x
  2. Step 2: Convert to fraction form
    3,449.81/4,760.84 = 1,878.01/x
  3. Step 3: Cross multiply
    3,449.81x = 4,760.84 × 1,878.01
  4. Step 4: Simplify right side
    3,449.81x = 8,940,897.92
  5. Step 5: Solve for x
    x = 8,940,897.92/3,449.81
  6. Step 6: Final answer
    x = 2,591.71

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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.