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Finding the Fourth Proportional to 3,946.86, 5,923.53 and 1,999.62

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Solution

The fourth proportional to 3,946.86, 5,923.53 and 1,999.62 is: 3,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.86 : 5,923.53 = 1,999.62 : x
  2. Step 2: Convert to fraction form
    3,946.86/5,923.53 = 1,999.62/x
  3. Step 3: Cross multiply
    3,946.86x = 5,923.53 × 1,999.62
  4. Step 4: Simplify right side
    3,946.86x = 11,844,809.06
  5. Step 5: Solve for x
    x = 11,844,809.06/3,946.86
  6. Step 6: Final answer
    x = 3,001.07

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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.