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Finding the Fourth Proportional to 9,231.60, 12,735.99 and 5,688.66

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Solution

The fourth proportional to 9,231.60, 12,735.99 and 5,688.66 is: 7,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.60 : 12,735.99 = 5,688.66 : x
  2. Step 2: Convert to fraction form
    9,231.60/12,735.99 = 5,688.66/x
  3. Step 3: Cross multiply
    9,231.60x = 12,735.99 × 5,688.66
  4. Step 4: Simplify right side
    9,231.60x = 72,450,716.87
  5. Step 5: Solve for x
    x = 72,450,716.87/9,231.60
  6. Step 6: Final answer
    x = 7,848.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.