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Finding the Fourth Proportional to 3,854.68, 5,782.02 and 1,904.92

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Solution

The fourth proportional to 3,854.68, 5,782.02 and 1,904.92 is: 2,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.68 : 5,782.02 = 1,904.92 : x
  2. Step 2: Convert to fraction form
    3,854.68/5,782.02 = 1,904.92/x
  3. Step 3: Cross multiply
    3,854.68x = 5,782.02 × 1,904.92
  4. Step 4: Simplify right side
    3,854.68x = 11,014,285.54
  5. Step 5: Solve for x
    x = 11,014,285.54/3,854.68
  6. Step 6: Final answer
    x = 2,857.38

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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.