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Finding the Fourth Proportional to 10,505.34, 15,757.05 and 6,120.06

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Solution

The fourth proportional to 10,505.34, 15,757.05 and 6,120.06 is: 9,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.34 : 15,757.05 = 6,120.06 : x
  2. Step 2: Convert to fraction form
    10,505.34/15,757.05 = 6,120.06/x
  3. Step 3: Cross multiply
    10,505.34x = 15,757.05 × 6,120.06
  4. Step 4: Simplify right side
    10,505.34x = 96,434,091.42
  5. Step 5: Solve for x
    x = 96,434,091.42/10,505.34
  6. Step 6: Final answer
    x = 9,179.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.