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Finding the Fourth Proportional to 13,202.56, 18,221.90 and 7,897.96

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Solution

The fourth proportional to 13,202.56, 18,221.90 and 7,897.96 is: 10,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.56 : 18,221.90 = 7,897.96 : x
  2. Step 2: Convert to fraction form
    13,202.56/18,221.90 = 7,897.96/x
  3. Step 3: Cross multiply
    13,202.56x = 18,221.90 × 7,897.96
  4. Step 4: Simplify right side
    13,202.56x = 143,915,837.32
  5. Step 5: Solve for x
    x = 143,915,837.32/13,202.56
  6. Step 6: Final answer
    x = 10,900.60

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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.