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Finding the Fourth Proportional to 9,109.80, 13,680.90 and 6,647.40

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Solution

The fourth proportional to 9,109.80, 13,680.90 and 6,647.40 is: 9,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.80 : 13,680.90 = 6,647.40 : x
  2. Step 2: Convert to fraction form
    9,109.80/13,680.90 = 6,647.40/x
  3. Step 3: Cross multiply
    9,109.80x = 13,680.90 × 6,647.40
  4. Step 4: Simplify right side
    9,109.80x = 90,942,414.66
  5. Step 5: Solve for x
    x = 90,942,414.66/9,109.80
  6. Step 6: Final answer
    x = 9,982.92

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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.