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Finding the Fourth Proportional to 19,938.30, 29,905.05 and 8,250.30

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Solution

The fourth proportional to 19,938.30, 29,905.05 and 8,250.30 is: 12,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,938.30 : 29,905.05 = 8,250.30 : x
  2. Step 2: Convert to fraction form
    19,938.30/29,905.05 = 8,250.30/x
  3. Step 3: Cross multiply
    19,938.30x = 29,905.05 × 8,250.30
  4. Step 4: Simplify right side
    19,938.30x = 246,725,634.02
  5. Step 5: Solve for x
    x = 246,725,634.02/19,938.30
  6. Step 6: Final answer
    x = 12,374.46

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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.