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Finding the Fourth Proportional to 12,872, 17,763.36 and 6,984

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Solution

The fourth proportional to 12,872, 17,763.36 and 6,984 is: 9,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872 : 17,763.36 = 6,984 : x
  2. Step 2: Convert to fraction form
    12,872/17,763.36 = 6,984/x
  3. Step 3: Cross multiply
    12,872x = 17,763.36 × 6,984
  4. Step 4: Simplify right side
    12,872x = 124,059,306.24
  5. Step 5: Solve for x
    x = 124,059,306.24/12,872
  6. Step 6: Final answer
    x = 9,637.92

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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.