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Finding the Fourth Proportional to 6,513.87, 8,989.12 and 3,529.78

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Solution

The fourth proportional to 6,513.87, 8,989.12 and 3,529.78 is: 4,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.87 : 8,989.12 = 3,529.78 : x
  2. Step 2: Convert to fraction form
    6,513.87/8,989.12 = 3,529.78/x
  3. Step 3: Cross multiply
    6,513.87x = 8,989.12 × 3,529.78
  4. Step 4: Simplify right side
    6,513.87x = 31,729,647.29
  5. Step 5: Solve for x
    x = 31,729,647.29/6,513.87
  6. Step 6: Final answer
    x = 4,871.09

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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.