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Finding the Fourth Proportional to 13,615.97, 20,409.44 and 7,759.97

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Solution

The fourth proportional to 13,615.97, 20,409.44 and 7,759.97 is: 11,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.97 : 20,409.44 = 7,759.97 : x
  2. Step 2: Convert to fraction form
    13,615.97/20,409.44 = 7,759.97/x
  3. Step 3: Cross multiply
    13,615.97x = 20,409.44 × 7,759.97
  4. Step 4: Simplify right side
    13,615.97x = 158,376,603.32
  5. Step 5: Solve for x
    x = 158,376,603.32/13,615.97
  6. Step 6: Final answer
    x = 11,631.68

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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.