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Finding the Fourth Proportional to 10,535.56, 15,770.46 and 7,765.36

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Solution

The fourth proportional to 10,535.56, 15,770.46 and 7,765.36 is: 11,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.56 : 15,770.46 = 7,765.36 : x
  2. Step 2: Convert to fraction form
    10,535.56/15,770.46 = 7,765.36/x
  3. Step 3: Cross multiply
    10,535.56x = 15,770.46 × 7,765.36
  4. Step 4: Simplify right side
    10,535.56x = 122,463,299.27
  5. Step 5: Solve for x
    x = 122,463,299.27/10,535.56
  6. Step 6: Final answer
    x = 11,623.81

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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.