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Finding the Fourth Proportional to 13,986.84, 20,978.58 and 7,663.56

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Solution

The fourth proportional to 13,986.84, 20,978.58 and 7,663.56 is: 11,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.84 : 20,978.58 = 7,663.56 : x
  2. Step 2: Convert to fraction form
    13,986.84/20,978.58 = 7,663.56/x
  3. Step 3: Cross multiply
    13,986.84x = 20,978.58 × 7,663.56
  4. Step 4: Simplify right side
    13,986.84x = 160,770,606.54
  5. Step 5: Solve for x
    x = 160,770,606.54/13,986.84
  6. Step 6: Final answer
    x = 11,494.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.