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Finding the Fourth Proportional to 6,855.24, 9,460.69 and 3,871.16

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Solution

The fourth proportional to 6,855.24, 9,460.69 and 3,871.16 is: 5,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.24 : 9,460.69 = 3,871.16 : x
  2. Step 2: Convert to fraction form
    6,855.24/9,460.69 = 3,871.16/x
  3. Step 3: Cross multiply
    6,855.24x = 9,460.69 × 3,871.16
  4. Step 4: Simplify right side
    6,855.24x = 36,623,844.70
  5. Step 5: Solve for x
    x = 36,623,844.70/6,855.24
  6. Step 6: Final answer
    x = 5,342.46

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