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Finding the Fourth Proportional to 43,127.76, 64,691.62 and 11,963

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Solution

The fourth proportional to 43,127.76, 64,691.62 and 11,963 is: 17,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,127.76 : 64,691.62 = 11,963 : x
  2. Step 2: Convert to fraction form
    43,127.76/64,691.62 = 11,963/x
  3. Step 3: Cross multiply
    43,127.76x = 64,691.62 × 11,963
  4. Step 4: Simplify right side
    43,127.76x = 773,905,850.06
  5. Step 5: Solve for x
    x = 773,905,850.06/43,127.76
  6. Step 6: Final answer
    x = 17,944.49

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1.5x scale

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.