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Finding the Fourth Proportional to 9,687.72, 13,372.26 and 5,709.96

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Solution

The fourth proportional to 9,687.72, 13,372.26 and 5,709.96 is: 7,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.72 : 13,372.26 = 5,709.96 : x
  2. Step 2: Convert to fraction form
    9,687.72/13,372.26 = 5,709.96/x
  3. Step 3: Cross multiply
    9,687.72x = 13,372.26 × 5,709.96
  4. Step 4: Simplify right side
    9,687.72x = 76,355,069.71
  5. Step 5: Solve for x
    x = 76,355,069.71/9,687.72
  6. Step 6: Final answer
    x = 7,881.63

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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.