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Finding the Fourth Proportional to 21,902.56, 32,847.84 and 7,860

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Solution

The fourth proportional to 21,902.56, 32,847.84 and 7,860 is: 11,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.56 : 32,847.84 = 7,860 : x
  2. Step 2: Convert to fraction form
    21,902.56/32,847.84 = 7,860/x
  3. Step 3: Cross multiply
    21,902.56x = 32,847.84 × 7,860
  4. Step 4: Simplify right side
    21,902.56x = 258,184,022.40
  5. Step 5: Solve for x
    x = 258,184,022.40/21,902.56
  6. Step 6: Final answer
    x = 11,787.85

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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.