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Finding the Fourth Proportional to 11,489.67, 15,861.77 and 7,732.59

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Solution

The fourth proportional to 11,489.67, 15,861.77 and 7,732.59 is: 10,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.67 : 15,861.77 = 7,732.59 : x
  2. Step 2: Convert to fraction form
    11,489.67/15,861.77 = 7,732.59/x
  3. Step 3: Cross multiply
    11,489.67x = 15,861.77 × 7,732.59
  4. Step 4: Simplify right side
    11,489.67x = 122,652,525.42
  5. Step 5: Solve for x
    x = 122,652,525.42/11,489.67
  6. Step 6: Final answer
    x = 10,675.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.