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Finding the Fourth Proportional to 12,473.76, 17,214 and 6,808.80

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Solution

The fourth proportional to 12,473.76, 17,214 and 6,808.80 is: 9,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.76 : 17,214 = 6,808.80 : x
  2. Step 2: Convert to fraction form
    12,473.76/17,214 = 6,808.80/x
  3. Step 3: Cross multiply
    12,473.76x = 17,214 × 6,808.80
  4. Step 4: Simplify right side
    12,473.76x = 117,206,683.20
  5. Step 5: Solve for x
    x = 117,206,683.20/12,473.76
  6. Step 6: Final answer
    x = 9,396.26

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1.5x scale

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.