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Finding the Fourth Proportional to 13,614, 18,786.96 and 7,646.32

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Solution

The fourth proportional to 13,614, 18,786.96 and 7,646.32 is: 10,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614 : 18,786.96 = 7,646.32 : x
  2. Step 2: Convert to fraction form
    13,614/18,786.96 = 7,646.32/x
  3. Step 3: Cross multiply
    13,614x = 18,786.96 × 7,646.32
  4. Step 4: Simplify right side
    13,614x = 143,651,107.99
  5. Step 5: Solve for x
    x = 143,651,107.99/13,614
  6. Step 6: Final answer
    x = 10,551.72

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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.