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Finding the Fourth Proportional to 5,687.64, 8,515.74 and 2,908.34

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Solution

The fourth proportional to 5,687.64, 8,515.74 and 2,908.34 is: 4,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.64 : 8,515.74 = 2,908.34 : x
  2. Step 2: Convert to fraction form
    5,687.64/8,515.74 = 2,908.34/x
  3. Step 3: Cross multiply
    5,687.64x = 8,515.74 × 2,908.34
  4. Step 4: Simplify right side
    5,687.64x = 24,766,624.69
  5. Step 5: Solve for x
    x = 24,766,624.69/5,687.64
  6. Step 6: Final answer
    x = 4,354.46

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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.