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Finding the Fourth Proportional to 6,242.46, 8,614.65 and 3,409.78

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Solution

The fourth proportional to 6,242.46, 8,614.65 and 3,409.78 is: 4,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.46 : 8,614.65 = 3,409.78 : x
  2. Step 2: Convert to fraction form
    6,242.46/8,614.65 = 3,409.78/x
  3. Step 3: Cross multiply
    6,242.46x = 8,614.65 × 3,409.78
  4. Step 4: Simplify right side
    6,242.46x = 29,374,105.02
  5. Step 5: Solve for x
    x = 29,374,105.02/6,242.46
  6. Step 6: Final answer
    x = 4,705.53

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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.