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Finding the Fourth Proportional to 7,735.72, 10,690.50 and 6,871.72

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Solution

The fourth proportional to 7,735.72, 10,690.50 and 6,871.72 is: 9,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.72 : 10,690.50 = 6,871.72 : x
  2. Step 2: Convert to fraction form
    7,735.72/10,690.50 = 6,871.72/x
  3. Step 3: Cross multiply
    7,735.72x = 10,690.50 × 6,871.72
  4. Step 4: Simplify right side
    7,735.72x = 73,462,122.66
  5. Step 5: Solve for x
    x = 73,462,122.66/7,735.72
  6. Step 6: Final answer
    x = 9,496.48

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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.