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Finding the Fourth Proportional to 43,241.88, 64,840.68 and 19,848

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Solution

The fourth proportional to 43,241.88, 64,840.68 and 19,848 is: 29,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,241.88 : 64,840.68 = 19,848 : x
  2. Step 2: Convert to fraction form
    43,241.88/64,840.68 = 19,848/x
  3. Step 3: Cross multiply
    43,241.88x = 64,840.68 × 19,848
  4. Step 4: Simplify right side
    43,241.88x = 1,286,957,816.64
  5. Step 5: Solve for x
    x = 1,286,957,816.64/43,241.88
  6. Step 6: Final answer
    x = 29,761.84

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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.