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Finding the Fourth Proportional to 10,859.90, 16,299.09 and 7,747.53

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Solution

The fourth proportional to 10,859.90, 16,299.09 and 7,747.53 is: 11,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.90 : 16,299.09 = 7,747.53 : x
  2. Step 2: Convert to fraction form
    10,859.90/16,299.09 = 7,747.53/x
  3. Step 3: Cross multiply
    10,859.90x = 16,299.09 × 7,747.53
  4. Step 4: Simplify right side
    10,859.90x = 126,277,688.75
  5. Step 5: Solve for x
    x = 126,277,688.75/10,859.90
  6. Step 6: Final answer
    x = 11,627.89

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1.5x scale

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.