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Finding the Fourth Proportional to 11,573.56, 15,971.80 and 7,099.78

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Solution

The fourth proportional to 11,573.56, 15,971.80 and 7,099.78 is: 9,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.56 : 15,971.80 = 7,099.78 : x
  2. Step 2: Convert to fraction form
    11,573.56/15,971.80 = 7,099.78/x
  3. Step 3: Cross multiply
    11,573.56x = 15,971.80 × 7,099.78
  4. Step 4: Simplify right side
    11,573.56x = 113,396,186.35
  5. Step 5: Solve for x
    x = 113,396,186.35/11,573.56
  6. Step 6: Final answer
    x = 9,797.87

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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.