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Finding the Fourth Proportional to 12,808, 17,675.04 and 6,920

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Solution

The fourth proportional to 12,808, 17,675.04 and 6,920 is: 9,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808 : 17,675.04 = 6,920 : x
  2. Step 2: Convert to fraction form
    12,808/17,675.04 = 6,920/x
  3. Step 3: Cross multiply
    12,808x = 17,675.04 × 6,920
  4. Step 4: Simplify right side
    12,808x = 122,311,276.80
  5. Step 5: Solve for x
    x = 122,311,276.80/12,808
  6. Step 6: Final answer
    x = 9,549.60

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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.