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Finding the Fourth Proportional to 11,021, 15,202.80 and 6,540.32

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Solution

The fourth proportional to 11,021, 15,202.80 and 6,540.32 is: 9,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021 : 15,202.80 = 6,540.32 : x
  2. Step 2: Convert to fraction form
    11,021/15,202.80 = 6,540.32/x
  3. Step 3: Cross multiply
    11,021x = 15,202.80 × 6,540.32
  4. Step 4: Simplify right side
    11,021x = 99,431,176.90
  5. Step 5: Solve for x
    x = 99,431,176.90/11,021
  6. Step 6: Final answer
    x = 9,021.97

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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.