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Finding the Fourth Proportional to 47,832, 66,008.16 and 27,960

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Solution

The fourth proportional to 47,832, 66,008.16 and 27,960 is: 38,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832 : 66,008.16 = 27,960 : x
  2. Step 2: Convert to fraction form
    47,832/66,008.16 = 27,960/x
  3. Step 3: Cross multiply
    47,832x = 66,008.16 × 27,960
  4. Step 4: Simplify right side
    47,832x = 1,845,588,153.60
  5. Step 5: Solve for x
    x = 1,845,588,153.60/47,832
  6. Step 6: Final answer
    x = 38,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.