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Finding the Fourth Proportional to 31,773.84, 47,682.48 and 21,255.84

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Solution

The fourth proportional to 31,773.84, 47,682.48 and 21,255.84 is: 31,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.84 : 47,682.48 = 21,255.84 : x
  2. Step 2: Convert to fraction form
    31,773.84/47,682.48 = 21,255.84/x
  3. Step 3: Cross multiply
    31,773.84x = 47,682.48 × 21,255.84
  4. Step 4: Simplify right side
    31,773.84x = 1,013,531,165.68
  5. Step 5: Solve for x
    x = 1,013,531,165.68/31,773.84
  6. Step 6: Final answer
    x = 31,898.29

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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.