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Finding the Fourth Proportional to 13,102.86, 18,082.26 and 7,134.84

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Solution

The fourth proportional to 13,102.86, 18,082.26 and 7,134.84 is: 9,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.86 : 18,082.26 = 7,134.84 : x
  2. Step 2: Convert to fraction form
    13,102.86/18,082.26 = 7,134.84/x
  3. Step 3: Cross multiply
    13,102.86x = 18,082.26 × 7,134.84
  4. Step 4: Simplify right side
    13,102.86x = 129,014,031.94
  5. Step 5: Solve for x
    x = 129,014,031.94/13,102.86
  6. Step 6: Final answer
    x = 9,846.25

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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.