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Finding the Fourth Proportional to 13,742.99, 18,965.79 and 8,077.66

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Solution

The fourth proportional to 13,742.99, 18,965.79 and 8,077.66 is: 11,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.99 : 18,965.79 = 8,077.66 : x
  2. Step 2: Convert to fraction form
    13,742.99/18,965.79 = 8,077.66/x
  3. Step 3: Cross multiply
    13,742.99x = 18,965.79 × 8,077.66
  4. Step 4: Simplify right side
    13,742.99x = 153,199,108.42
  5. Step 5: Solve for x
    x = 153,199,108.42/13,742.99
  6. Step 6: Final answer
    x = 11,147.44

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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.