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Finding the Fourth Proportional to 13,321.97, 19,977.14 and 7,080.47

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Solution

The fourth proportional to 13,321.97, 19,977.14 and 7,080.47 is: 10,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.97 : 19,977.14 = 7,080.47 : x
  2. Step 2: Convert to fraction form
    13,321.97/19,977.14 = 7,080.47/x
  3. Step 3: Cross multiply
    13,321.97x = 19,977.14 × 7,080.47
  4. Step 4: Simplify right side
    13,321.97x = 141,447,405.17
  5. Step 5: Solve for x
    x = 141,447,405.17/13,321.97
  6. Step 6: Final answer
    x = 10,617.61

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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.