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Finding the Fourth Proportional to 31,692, 47,538.69 and 11,979.84

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Solution

The fourth proportional to 31,692, 47,538.69 and 11,979.84 is: 17,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692 : 47,538.69 = 11,979.84 : x
  2. Step 2: Convert to fraction form
    31,692/47,538.69 = 11,979.84/x
  3. Step 3: Cross multiply
    31,692x = 47,538.69 × 11,979.84
  4. Step 4: Simplify right side
    31,692x = 569,505,900.01
  5. Step 5: Solve for x
    x = 569,505,900.01/31,692
  6. Step 6: Final answer
    x = 17,970.02

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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.