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Finding the Fourth Proportional to 3,871.03, 5,807.42 and 1,405.84

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Solution

The fourth proportional to 3,871.03, 5,807.42 and 1,405.84 is: 2,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.03 : 5,807.42 = 1,405.84 : x
  2. Step 2: Convert to fraction form
    3,871.03/5,807.42 = 1,405.84/x
  3. Step 3: Cross multiply
    3,871.03x = 5,807.42 × 1,405.84
  4. Step 4: Simplify right side
    3,871.03x = 8,164,303.33
  5. Step 5: Solve for x
    x = 8,164,303.33/3,871.03
  6. Step 6: Final answer
    x = 2,109.08

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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.