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Finding the Fourth Proportional to 7,638.96, 11,460.14 and 3,480.14

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Solution

The fourth proportional to 7,638.96, 11,460.14 and 3,480.14 is: 5,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.96 : 11,460.14 = 3,480.14 : x
  2. Step 2: Convert to fraction form
    7,638.96/11,460.14 = 3,480.14/x
  3. Step 3: Cross multiply
    7,638.96x = 11,460.14 × 3,480.14
  4. Step 4: Simplify right side
    7,638.96x = 39,882,891.62
  5. Step 5: Solve for x
    x = 39,882,891.62/7,638.96
  6. Step 6: Final answer
    x = 5,220.98

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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.