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Finding the Fourth Proportional to 20,507.31, 30,748.81 and 9,258.03

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Solution

The fourth proportional to 20,507.31, 30,748.81 and 9,258.03 is: 13,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.31 : 30,748.81 = 9,258.03 : x
  2. Step 2: Convert to fraction form
    20,507.31/30,748.81 = 9,258.03/x
  3. Step 3: Cross multiply
    20,507.31x = 30,748.81 × 9,258.03
  4. Step 4: Simplify right side
    20,507.31x = 284,673,405.44
  5. Step 5: Solve for x
    x = 284,673,405.44/20,507.31
  6. Step 6: Final answer
    x = 13,881.56

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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.