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Finding the Fourth Proportional to 12,809.52, 17,685.36 and 8,280

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Solution

The fourth proportional to 12,809.52, 17,685.36 and 8,280 is: 11,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.52 : 17,685.36 = 8,280 : x
  2. Step 2: Convert to fraction form
    12,809.52/17,685.36 = 8,280/x
  3. Step 3: Cross multiply
    12,809.52x = 17,685.36 × 8,280
  4. Step 4: Simplify right side
    12,809.52x = 146,434,780.80
  5. Step 5: Solve for x
    x = 146,434,780.80/12,809.52
  6. Step 6: Final answer
    x = 11,431.71

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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.