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Finding the Fourth Proportional to 6,489.80, 8,956.62 and 3,695

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Solution

The fourth proportional to 6,489.80, 8,956.62 and 3,695 is: 5,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.80 : 8,956.62 = 3,695 : x
  2. Step 2: Convert to fraction form
    6,489.80/8,956.62 = 3,695/x
  3. Step 3: Cross multiply
    6,489.80x = 8,956.62 × 3,695
  4. Step 4: Simplify right side
    6,489.80x = 33,094,710.90
  5. Step 5: Solve for x
    x = 33,094,710.90/6,489.80
  6. Step 6: Final answer
    x = 5,099.50

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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.