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Finding the Fourth Proportional to 43,132, 64,698 and 13,948

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Solution

The fourth proportional to 43,132, 64,698 and 13,948 is: 20,922

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132 : 64,698 = 13,948 : x
  2. Step 2: Convert to fraction form
    43,132/64,698 = 13,948/x
  3. Step 3: Cross multiply
    43,132x = 64,698 × 13,948
  4. Step 4: Simplify right side
    43,132x = 902,407,704
  5. Step 5: Solve for x
    x = 902,407,704/43,132
  6. Step 6: Final answer
    x = 20,922

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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.