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Finding the Fourth Proportional to 3,871.91, 5,808.36 and 1,407.89

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Solution

The fourth proportional to 3,871.91, 5,808.36 and 1,407.89 is: 2,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.91 : 5,808.36 = 1,407.89 : x
  2. Step 2: Convert to fraction form
    3,871.91/5,808.36 = 1,407.89/x
  3. Step 3: Cross multiply
    3,871.91x = 5,808.36 × 1,407.89
  4. Step 4: Simplify right side
    3,871.91x = 8,177,531.96
  5. Step 5: Solve for x
    x = 8,177,531.96/3,871.91
  6. Step 6: Final answer
    x = 2,112.01

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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.