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Finding the Fourth Proportional to 15,696, 23,539.02 and 5,163.60

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Solution

The fourth proportional to 15,696, 23,539.02 and 5,163.60 is: 7,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 23,539.02 = 5,163.60 : x
  2. Step 2: Convert to fraction form
    15,696/23,539.02 = 5,163.60/x
  3. Step 3: Cross multiply
    15,696x = 23,539.02 × 5,163.60
  4. Step 4: Simplify right side
    15,696x = 121,546,083.67
  5. Step 5: Solve for x
    x = 121,546,083.67/15,696
  6. Step 6: Final answer
    x = 7,743.76

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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.