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Finding the Fourth Proportional to 3,986.40, 5,969.12 and 2,810.03

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Solution

The fourth proportional to 3,986.40, 5,969.12 and 2,810.03 is: 4,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.40 : 5,969.12 = 2,810.03 : x
  2. Step 2: Convert to fraction form
    3,986.40/5,969.12 = 2,810.03/x
  3. Step 3: Cross multiply
    3,986.40x = 5,969.12 × 2,810.03
  4. Step 4: Simplify right side
    3,986.40x = 16,773,406.27
  5. Step 5: Solve for x
    x = 16,773,406.27/3,986.40
  6. Step 6: Final answer
    x = 4,207.66

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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.