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Finding the Fourth Proportional to 42,832, 64,248 and 11,667.25

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Solution

The fourth proportional to 42,832, 64,248 and 11,667.25 is: 17,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832 : 64,248 = 11,667.25 : x
  2. Step 2: Convert to fraction form
    42,832/64,248 = 11,667.25/x
  3. Step 3: Cross multiply
    42,832x = 64,248 × 11,667.25
  4. Step 4: Simplify right side
    42,832x = 749,597,478
  5. Step 5: Solve for x
    x = 749,597,478/42,832
  6. Step 6: Final answer
    x = 17,500.88

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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.