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Finding the Fourth Proportional to 3,873.02, 5,809.50 and 1,407.83

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Solution

The fourth proportional to 3,873.02, 5,809.50 and 1,407.83 is: 2,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.02 : 5,809.50 = 1,407.83 : x
  2. Step 2: Convert to fraction form
    3,873.02/5,809.50 = 1,407.83/x
  3. Step 3: Cross multiply
    3,873.02x = 5,809.50 × 1,407.83
  4. Step 4: Simplify right side
    3,873.02x = 8,178,759.34
  5. Step 5: Solve for x
    x = 8,178,759.34/3,873.02
  6. Step 6: Final answer
    x = 2,111.73

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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.