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Finding the Fourth Proportional to 7,864.56, 11,773.80 and 4,765.68

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Solution

The fourth proportional to 7,864.56, 11,773.80 and 4,765.68 is: 7,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.56 : 11,773.80 = 4,765.68 : x
  2. Step 2: Convert to fraction form
    7,864.56/11,773.80 = 4,765.68/x
  3. Step 3: Cross multiply
    7,864.56x = 11,773.80 × 4,765.68
  4. Step 4: Simplify right side
    7,864.56x = 56,110,163.18
  5. Step 5: Solve for x
    x = 56,110,163.18/7,864.56
  6. Step 6: Final answer
    x = 7,134.56

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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.