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Finding the Fourth Proportional to 3,992.13, 5,946.02 and 3,783.96

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Solution

The fourth proportional to 3,992.13, 5,946.02 and 3,783.96 is: 5,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.13 : 5,946.02 = 3,783.96 : x
  2. Step 2: Convert to fraction form
    3,992.13/5,946.02 = 3,783.96/x
  3. Step 3: Cross multiply
    3,992.13x = 5,946.02 × 3,783.96
  4. Step 4: Simplify right side
    3,992.13x = 22,499,501.84
  5. Step 5: Solve for x
    x = 22,499,501.84/3,992.13
  6. Step 6: Final answer
    x = 5,635.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.