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Finding the Fourth Proportional to 5,703.85, 7,871.51 and 3,186.00

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Solution

The fourth proportional to 5,703.85, 7,871.51 and 3,186.00 is: 4,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.85 : 7,871.51 = 3,186.00 : x
  2. Step 2: Convert to fraction form
    5,703.85/7,871.51 = 3,186.00/x
  3. Step 3: Cross multiply
    5,703.85x = 7,871.51 × 3,186.00
  4. Step 4: Simplify right side
    5,703.85x = 25,078,575.57
  5. Step 5: Solve for x
    x = 25,078,575.57/5,703.85
  6. Step 6: Final answer
    x = 4,396.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.