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Finding the Fourth Proportional to 15,965.12, 23,948.64 and 6,728

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Solution

The fourth proportional to 15,965.12, 23,948.64 and 6,728 is: 10,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.12 : 23,948.64 = 6,728 : x
  2. Step 2: Convert to fraction form
    15,965.12/23,948.64 = 6,728/x
  3. Step 3: Cross multiply
    15,965.12x = 23,948.64 × 6,728
  4. Step 4: Simplify right side
    15,965.12x = 161,126,449.92
  5. Step 5: Solve for x
    x = 161,126,449.92/15,965.12
  6. Step 6: Final answer
    x = 10,092.40

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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.