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Finding the Fourth Proportional to 19,935, 29,902.50 and 8,248.50

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Solution

The fourth proportional to 19,935, 29,902.50 and 8,248.50 is: 12,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,935 : 29,902.50 = 8,248.50 : x
  2. Step 2: Convert to fraction form
    19,935/29,902.50 = 8,248.50/x
  3. Step 3: Cross multiply
    19,935x = 29,902.50 × 8,248.50
  4. Step 4: Simplify right side
    19,935x = 246,650,771.25
  5. Step 5: Solve for x
    x = 246,650,771.25/19,935
  6. Step 6: Final answer
    x = 12,372.75

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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.