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Finding the Fourth Proportional to 6,871.62, 10,299 and 3,935.64

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Solution

The fourth proportional to 6,871.62, 10,299 and 3,935.64 is: 5,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.62 : 10,299 = 3,935.64 : x
  2. Step 2: Convert to fraction form
    6,871.62/10,299 = 3,935.64/x
  3. Step 3: Cross multiply
    6,871.62x = 10,299 × 3,935.64
  4. Step 4: Simplify right side
    6,871.62x = 40,533,156.36
  5. Step 5: Solve for x
    x = 40,533,156.36/6,871.62
  6. Step 6: Final answer
    x = 5,898.63

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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.