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Finding the Fourth Proportional to 7,638.94, 11,460.14 and 3,477.84

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Solution

The fourth proportional to 7,638.94, 11,460.14 and 3,477.84 is: 5,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.94 : 11,460.14 = 3,477.84 : x
  2. Step 2: Convert to fraction form
    7,638.94/11,460.14 = 3,477.84/x
  3. Step 3: Cross multiply
    7,638.94x = 11,460.14 × 3,477.84
  4. Step 4: Simplify right side
    7,638.94x = 39,856,485.97
  5. Step 5: Solve for x
    x = 39,856,485.97/7,638.94
  6. Step 6: Final answer
    x = 5,217.54

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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.