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Finding the Fourth Proportional to 43,662.64, 65,513.64 and 18,709.24

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Solution

The fourth proportional to 43,662.64, 65,513.64 and 18,709.24 is: 28,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662.64 : 65,513.64 = 18,709.24 : x
  2. Step 2: Convert to fraction form
    43,662.64/65,513.64 = 18,709.24/x
  3. Step 3: Cross multiply
    43,662.64x = 65,513.64 × 18,709.24
  4. Step 4: Simplify right side
    43,662.64x = 1,225,710,414.03
  5. Step 5: Solve for x
    x = 1,225,710,414.03/43,662.64
  6. Step 6: Final answer
    x = 28,072.29

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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.