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Finding the Fourth Proportional to 42,954, 64,431 and 11,789.25

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Solution

The fourth proportional to 42,954, 64,431 and 11,789.25 is: 17,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 64,431 = 11,789.25 : x
  2. Step 2: Convert to fraction form
    42,954/64,431 = 11,789.25/x
  3. Step 3: Cross multiply
    42,954x = 64,431 × 11,789.25
  4. Step 4: Simplify right side
    42,954x = 759,593,166.75
  5. Step 5: Solve for x
    x = 759,593,166.75/42,954
  6. Step 6: Final answer
    x = 17,683.88

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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.