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Finding the Fourth Proportional to 12,287.04, 16,956.08 and 6,698

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Solution

The fourth proportional to 12,287.04, 16,956.08 and 6,698 is: 9,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.04 : 16,956.08 = 6,698 : x
  2. Step 2: Convert to fraction form
    12,287.04/16,956.08 = 6,698/x
  3. Step 3: Cross multiply
    12,287.04x = 16,956.08 × 6,698
  4. Step 4: Simplify right side
    12,287.04x = 113,571,823.84
  5. Step 5: Solve for x
    x = 113,571,823.84/12,287.04
  6. Step 6: Final answer
    x = 9,243.22

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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.