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Finding the Fourth Proportional to 42,956, 64,434 and 11,791.25

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Solution

The fourth proportional to 42,956, 64,434 and 11,791.25 is: 17,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,956 : 64,434 = 11,791.25 : x
  2. Step 2: Convert to fraction form
    42,956/64,434 = 11,791.25/x
  3. Step 3: Cross multiply
    42,956x = 64,434 × 11,791.25
  4. Step 4: Simplify right side
    42,956x = 759,757,402.50
  5. Step 5: Solve for x
    x = 759,757,402.50/42,956
  6. Step 6: Final answer
    x = 17,686.88

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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.