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Finding the Fourth Proportional to 12,720, 19,080.96 and 4,512

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Solution

The fourth proportional to 12,720, 19,080.96 and 4,512 is: 6,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720 : 19,080.96 = 4,512 : x
  2. Step 2: Convert to fraction form
    12,720/19,080.96 = 4,512/x
  3. Step 3: Cross multiply
    12,720x = 19,080.96 × 4,512
  4. Step 4: Simplify right side
    12,720x = 86,093,291.52
  5. Step 5: Solve for x
    x = 86,093,291.52/12,720
  6. Step 6: Final answer
    x = 6,768.34

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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.