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Finding the Fourth Proportional to 15,928, 23,900.64 and 7,720

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Solution

The fourth proportional to 15,928, 23,900.64 and 7,720 is: 11,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928 : 23,900.64 = 7,720 : x
  2. Step 2: Convert to fraction form
    15,928/23,900.64 = 7,720/x
  3. Step 3: Cross multiply
    15,928x = 23,900.64 × 7,720
  4. Step 4: Simplify right side
    15,928x = 184,512,940.80
  5. Step 5: Solve for x
    x = 184,512,940.80/15,928
  6. Step 6: Final answer
    x = 11,584.19

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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.