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Finding the Fourth Proportional to 9,808.05, 14,711.22 and 2,787.78

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Solution

The fourth proportional to 9,808.05, 14,711.22 and 2,787.78 is: 4,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.05 : 14,711.22 = 2,787.78 : x
  2. Step 2: Convert to fraction form
    9,808.05/14,711.22 = 2,787.78/x
  3. Step 3: Cross multiply
    9,808.05x = 14,711.22 × 2,787.78
  4. Step 4: Simplify right side
    9,808.05x = 41,011,644.89
  5. Step 5: Solve for x
    x = 41,011,644.89/9,808.05
  6. Step 6: Final answer
    x = 4,181.43

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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.