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Finding the Fourth Proportional to 12,820, 17,691.88 and 7,231

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Solution

The fourth proportional to 12,820, 17,691.88 and 7,231 is: 9,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820 : 17,691.88 = 7,231 : x
  2. Step 2: Convert to fraction form
    12,820/17,691.88 = 7,231/x
  3. Step 3: Cross multiply
    12,820x = 17,691.88 × 7,231
  4. Step 4: Simplify right side
    12,820x = 127,929,984.28
  5. Step 5: Solve for x
    x = 127,929,984.28/12,820
  6. Step 6: Final answer
    x = 9,978.94

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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.