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Finding the Fourth Proportional to 6,242.42, 8,614.50 and 3,409.80

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Solution

The fourth proportional to 6,242.42, 8,614.50 and 3,409.80 is: 4,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.42 : 8,614.50 = 3,409.80 : x
  2. Step 2: Convert to fraction form
    6,242.42/8,614.50 = 3,409.80/x
  3. Step 3: Cross multiply
    6,242.42x = 8,614.50 × 3,409.80
  4. Step 4: Simplify right side
    6,242.42x = 29,373,677.01
  5. Step 5: Solve for x
    x = 29,373,677.01/6,242.42
  6. Step 6: Final answer
    x = 4,705.49

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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.