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Finding the Fourth Proportional to 3,873.62, 5,809.05 and 1,407.80

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Solution

The fourth proportional to 3,873.62, 5,809.05 and 1,407.80 is: 2,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.62 : 5,809.05 = 1,407.80 : x
  2. Step 2: Convert to fraction form
    3,873.62/5,809.05 = 1,407.80/x
  3. Step 3: Cross multiply
    3,873.62x = 5,809.05 × 1,407.80
  4. Step 4: Simplify right side
    3,873.62x = 8,177,951.54
  5. Step 5: Solve for x
    x = 8,177,951.54/3,873.62
  6. Step 6: Final answer
    x = 2,111.19

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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.