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Finding the Fourth Proportional to 15,697, 23,540.52 and 5,164.60

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Solution

The fourth proportional to 15,697, 23,540.52 and 5,164.60 is: 7,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 23,540.52 = 5,164.60 : x
  2. Step 2: Convert to fraction form
    15,697/23,540.52 = 5,164.60/x
  3. Step 3: Cross multiply
    15,697x = 23,540.52 × 5,164.60
  4. Step 4: Simplify right side
    15,697x = 121,577,369.59
  5. Step 5: Solve for x
    x = 121,577,369.59/15,697
  6. Step 6: Final answer
    x = 7,745.26

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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.