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Finding the Fourth Proportional to 3,871.40, 5,807.10 and 1,406.30

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Solution

The fourth proportional to 3,871.40, 5,807.10 and 1,406.30 is: 2,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.40 : 5,807.10 = 1,406.30 : x
  2. Step 2: Convert to fraction form
    3,871.40/5,807.10 = 1,406.30/x
  3. Step 3: Cross multiply
    3,871.40x = 5,807.10 × 1,406.30
  4. Step 4: Simplify right side
    3,871.40x = 8,166,524.73
  5. Step 5: Solve for x
    x = 8,166,524.73/3,871.40
  6. Step 6: Final answer
    x = 2,109.45

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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.