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Finding the Fourth Proportional to 3,811.05, 5,713.47 and 2,421.54

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Solution

The fourth proportional to 3,811.05, 5,713.47 and 2,421.54 is: 3,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.05 : 5,713.47 = 2,421.54 : x
  2. Step 2: Convert to fraction form
    3,811.05/5,713.47 = 2,421.54/x
  3. Step 3: Cross multiply
    3,811.05x = 5,713.47 × 2,421.54
  4. Step 4: Simplify right side
    3,811.05x = 13,835,396.14
  5. Step 5: Solve for x
    x = 13,835,396.14/3,811.05
  6. Step 6: Final answer
    x = 3,630.34

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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.