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Finding the Fourth Proportional to 6,840.68, 9,440.04 and 3,856.04

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Solution

The fourth proportional to 6,840.68, 9,440.04 and 3,856.04 is: 5,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.68 : 9,440.04 = 3,856.04 : x
  2. Step 2: Convert to fraction form
    6,840.68/9,440.04 = 3,856.04/x
  3. Step 3: Cross multiply
    6,840.68x = 9,440.04 × 3,856.04
  4. Step 4: Simplify right side
    6,840.68x = 36,401,171.84
  5. Step 5: Solve for x
    x = 36,401,171.84/6,840.68
  6. Step 6: Final answer
    x = 5,321.28

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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.