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Finding the Fourth Proportional to 12,885, 17,781.30 and 7,296

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Solution

The fourth proportional to 12,885, 17,781.30 and 7,296 is: 10,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885 : 17,781.30 = 7,296 : x
  2. Step 2: Convert to fraction form
    12,885/17,781.30 = 7,296/x
  3. Step 3: Cross multiply
    12,885x = 17,781.30 × 7,296
  4. Step 4: Simplify right side
    12,885x = 129,732,364.80
  5. Step 5: Solve for x
    x = 129,732,364.80/12,885
  6. Step 6: Final answer
    x = 10,068.48

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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.