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Finding the Fourth Proportional to 6,855.45, 9,460.50 and 3,871.91

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Solution

The fourth proportional to 6,855.45, 9,460.50 and 3,871.91 is: 5,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.45 : 9,460.50 = 3,871.91 : x
  2. Step 2: Convert to fraction form
    6,855.45/9,460.50 = 3,871.91/x
  3. Step 3: Cross multiply
    6,855.45x = 9,460.50 × 3,871.91
  4. Step 4: Simplify right side
    6,855.45x = 36,630,157.25
  5. Step 5: Solve for x
    x = 36,630,157.25/6,855.45
  6. Step 6: Final answer
    x = 5,343.22

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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.