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Finding the Fourth Proportional to 10,114.48, 13,942.52 and 7,986.16

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Solution

The fourth proportional to 10,114.48, 13,942.52 and 7,986.16 is: 11,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.48 : 13,942.52 = 7,986.16 : x
  2. Step 2: Convert to fraction form
    10,114.48/13,942.52 = 7,986.16/x
  3. Step 3: Cross multiply
    10,114.48x = 13,942.52 × 7,986.16
  4. Step 4: Simplify right side
    10,114.48x = 111,347,195.52
  5. Step 5: Solve for x
    x = 111,347,195.52/10,114.48
  6. Step 6: Final answer
    x = 11,008.69

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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.