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Finding the Fourth Proportional to 6,489.98, 8,956.17 and 3,505.82

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Solution

The fourth proportional to 6,489.98, 8,956.17 and 3,505.82 is: 4,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.98 : 8,956.17 = 3,505.82 : x
  2. Step 2: Convert to fraction form
    6,489.98/8,956.17 = 3,505.82/x
  3. Step 3: Cross multiply
    6,489.98x = 8,956.17 × 3,505.82
  4. Step 4: Simplify right side
    6,489.98x = 31,398,675.13
  5. Step 5: Solve for x
    x = 31,398,675.13/6,489.98
  6. Step 6: Final answer
    x = 4,838.03

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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.