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Finding the Fourth Proportional to 9,414.30, 14,121.45 and 8,982.30

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Solution

The fourth proportional to 9,414.30, 14,121.45 and 8,982.30 is: 13,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.30 : 14,121.45 = 8,982.30 : x
  2. Step 2: Convert to fraction form
    9,414.30/14,121.45 = 8,982.30/x
  3. Step 3: Cross multiply
    9,414.30x = 14,121.45 × 8,982.30
  4. Step 4: Simplify right side
    9,414.30x = 126,843,100.34
  5. Step 5: Solve for x
    x = 126,843,100.34/9,414.30
  6. Step 6: Final answer
    x = 13,473.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.