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Finding the Fourth Proportional to 15,683.78, 23,525.80 and 3,997

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Solution

The fourth proportional to 15,683.78, 23,525.80 and 3,997 is: 5,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.78 : 23,525.80 = 3,997 : x
  2. Step 2: Convert to fraction form
    15,683.78/23,525.80 = 3,997/x
  3. Step 3: Cross multiply
    15,683.78x = 23,525.80 × 3,997
  4. Step 4: Simplify right side
    15,683.78x = 94,032,622.60
  5. Step 5: Solve for x
    x = 94,032,622.60/15,683.78
  6. Step 6: Final answer
    x = 5,995.53

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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.