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Finding the Fourth Proportional to 3,904.92, 5,855.76 and 1,308.24

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Solution

The fourth proportional to 3,904.92, 5,855.76 and 1,308.24 is: 1,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.92 : 5,855.76 = 1,308.24 : x
  2. Step 2: Convert to fraction form
    3,904.92/5,855.76 = 1,308.24/x
  3. Step 3: Cross multiply
    3,904.92x = 5,855.76 × 1,308.24
  4. Step 4: Simplify right side
    3,904.92x = 7,660,739.46
  5. Step 5: Solve for x
    x = 7,660,739.46/3,904.92
  6. Step 6: Final answer
    x = 1,961.82

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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.