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Finding the Fourth Proportional to 12,728, 17,564.64 and 7,138.88

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Solution

The fourth proportional to 12,728, 17,564.64 and 7,138.88 is: 9,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728 : 17,564.64 = 7,138.88 : x
  2. Step 2: Convert to fraction form
    12,728/17,564.64 = 7,138.88/x
  3. Step 3: Cross multiply
    12,728x = 17,564.64 × 7,138.88
  4. Step 4: Simplify right side
    12,728x = 125,391,857.20
  5. Step 5: Solve for x
    x = 125,391,857.20/12,728
  6. Step 6: Final answer
    x = 9,851.65

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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.