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Finding the Fourth Proportional to 10,847.40, 16,274 and 4,607.78

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Solution

The fourth proportional to 10,847.40, 16,274 and 4,607.78 is: 6,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.40 : 16,274 = 4,607.78 : x
  2. Step 2: Convert to fraction form
    10,847.40/16,274 = 4,607.78/x
  3. Step 3: Cross multiply
    10,847.40x = 16,274 × 4,607.78
  4. Step 4: Simplify right side
    10,847.40x = 74,987,011.72
  5. Step 5: Solve for x
    x = 74,987,011.72/10,847.40
  6. Step 6: Final answer
    x = 6,912.90

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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.