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Finding the Fourth Proportional to 13,636, 18,814.44 and 7,666.48

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Solution

The fourth proportional to 13,636, 18,814.44 and 7,666.48 is: 10,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636 : 18,814.44 = 7,666.48 : x
  2. Step 2: Convert to fraction form
    13,636/18,814.44 = 7,666.48/x
  3. Step 3: Cross multiply
    13,636x = 18,814.44 × 7,666.48
  4. Step 4: Simplify right side
    13,636x = 144,240,527.97
  5. Step 5: Solve for x
    x = 144,240,527.97/13,636
  6. Step 6: Final answer
    x = 10,577.92

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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.