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Finding the Fourth Proportional to 11,653.55, 16,087.86 and 7,896.57

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Solution

The fourth proportional to 11,653.55, 16,087.86 and 7,896.57 is: 10,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.55 : 16,087.86 = 7,896.57 : x
  2. Step 2: Convert to fraction form
    11,653.55/16,087.86 = 7,896.57/x
  3. Step 3: Cross multiply
    11,653.55x = 16,087.86 × 7,896.57
  4. Step 4: Simplify right side
    11,653.55x = 127,038,912.64
  5. Step 5: Solve for x
    x = 127,038,912.64/11,653.55
  6. Step 6: Final answer
    x = 10,901.31

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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.