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Finding the Fourth Proportional to 10,906.72, 16,347.12 and 6,280

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Solution

The fourth proportional to 10,906.72, 16,347.12 and 6,280 is: 9,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.72 : 16,347.12 = 6,280 : x
  2. Step 2: Convert to fraction form
    10,906.72/16,347.12 = 6,280/x
  3. Step 3: Cross multiply
    10,906.72x = 16,347.12 × 6,280
  4. Step 4: Simplify right side
    10,906.72x = 102,659,913.60
  5. Step 5: Solve for x
    x = 102,659,913.60/10,906.72
  6. Step 6: Final answer
    x = 9,412.54

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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.