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Finding the Fourth Proportional to 13,687.44, 18,890.36 and 7,719

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Solution

The fourth proportional to 13,687.44, 18,890.36 and 7,719 is: 10,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.44 : 18,890.36 = 7,719 : x
  2. Step 2: Convert to fraction form
    13,687.44/18,890.36 = 7,719/x
  3. Step 3: Cross multiply
    13,687.44x = 18,890.36 × 7,719
  4. Step 4: Simplify right side
    13,687.44x = 145,814,650.25
  5. Step 5: Solve for x
    x = 145,814,650.25/13,687.44
  6. Step 6: Final answer
    x = 10,653.17

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Why These Related Problems?

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