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Finding the Fourth Proportional to 19,840.89, 29,761.35 and 5,989.89

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Solution

The fourth proportional to 19,840.89, 29,761.35 and 5,989.89 is: 8,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.89 : 29,761.35 = 5,989.89 : x
  2. Step 2: Convert to fraction form
    19,840.89/29,761.35 = 5,989.89/x
  3. Step 3: Cross multiply
    19,840.89x = 29,761.35 × 5,989.89
  4. Step 4: Simplify right side
    19,840.89x = 178,267,212.75
  5. Step 5: Solve for x
    x = 178,267,212.75/19,840.89
  6. Step 6: Final answer
    x = 8,984.84

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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.