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Finding the Fourth Proportional to 43,011, 64,516.50 and 11,846.25

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Solution

The fourth proportional to 43,011, 64,516.50 and 11,846.25 is: 17,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,011 : 64,516.50 = 11,846.25 : x
  2. Step 2: Convert to fraction form
    43,011/64,516.50 = 11,846.25/x
  3. Step 3: Cross multiply
    43,011x = 64,516.50 × 11,846.25
  4. Step 4: Simplify right side
    43,011x = 764,278,588.13
  5. Step 5: Solve for x
    x = 764,278,588.13/43,011
  6. Step 6: Final answer
    x = 17,769.38

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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.