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Finding the Fourth Proportional to 6,344.53, 8,754.41 and 3,985.00

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Solution

The fourth proportional to 6,344.53, 8,754.41 and 3,985.00 is: 5,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.53 : 8,754.41 = 3,985.00 : x
  2. Step 2: Convert to fraction form
    6,344.53/8,754.41 = 3,985.00/x
  3. Step 3: Cross multiply
    6,344.53x = 8,754.41 × 3,985.00
  4. Step 4: Simplify right side
    6,344.53x = 34,886,311.93
  5. Step 5: Solve for x
    x = 34,886,311.93/6,344.53
  6. Step 6: Final answer
    x = 5,498.65

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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.