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Finding the Fourth Proportional to 3,871.42, 5,807.83 and 1,409.70

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Solution

The fourth proportional to 3,871.42, 5,807.83 and 1,409.70 is: 2,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.42 : 5,807.83 = 1,409.70 : x
  2. Step 2: Convert to fraction form
    3,871.42/5,807.83 = 1,409.70/x
  3. Step 3: Cross multiply
    3,871.42x = 5,807.83 × 1,409.70
  4. Step 4: Simplify right side
    3,871.42x = 8,187,268.91
  5. Step 5: Solve for x
    x = 8,187,268.91/3,871.42
  6. Step 6: Final answer
    x = 2,114.80

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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.