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Finding the Fourth Proportional to 31,967.84, 47,961.48 and 19,331.84

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Solution

The fourth proportional to 31,967.84, 47,961.48 and 19,331.84 is: 29,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.84 : 47,961.48 = 19,331.84 : x
  2. Step 2: Convert to fraction form
    31,967.84/47,961.48 = 19,331.84/x
  3. Step 3: Cross multiply
    31,967.84x = 47,961.48 × 19,331.84
  4. Step 4: Simplify right side
    31,967.84x = 927,183,657.52
  5. Step 5: Solve for x
    x = 927,183,657.52/31,967.84
  6. Step 6: Final answer
    x = 29,003.64

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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.