Home / 10,938.42-16,383.87-8,010

Finding the Fourth Proportional to 10,938.42, 16,383.87 and 8,010

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Solution

The fourth proportional to 10,938.42, 16,383.87 and 8,010 is: 11,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.42 : 16,383.87 = 8,010 : x
  2. Step 2: Convert to fraction form
    10,938.42/16,383.87 = 8,010/x
  3. Step 3: Cross multiply
    10,938.42x = 16,383.87 × 8,010
  4. Step 4: Simplify right side
    10,938.42x = 131,234,798.70
  5. Step 5: Solve for x
    x = 131,234,798.70/10,938.42
  6. Step 6: Final answer
    x = 11,997.60

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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.