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Finding the Fourth Proportional to 43,729, 65,604.60 and 12,564.28

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Solution

The fourth proportional to 43,729, 65,604.60 and 12,564.28 is: 18,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729 : 65,604.60 = 12,564.28 : x
  2. Step 2: Convert to fraction form
    43,729/65,604.60 = 12,564.28/x
  3. Step 3: Cross multiply
    43,729x = 65,604.60 × 12,564.28
  4. Step 4: Simplify right side
    43,729x = 824,274,563.69
  5. Step 5: Solve for x
    x = 824,274,563.69/43,729
  6. Step 6: Final answer
    x = 18,849.61

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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.