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Finding the Fourth Proportional to 6,138.84, 8,471.61 and 3,344.34

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Solution

The fourth proportional to 6,138.84, 8,471.61 and 3,344.34 is: 4,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.84 : 8,471.61 = 3,344.34 : x
  2. Step 2: Convert to fraction form
    6,138.84/8,471.61 = 3,344.34/x
  3. Step 3: Cross multiply
    6,138.84x = 8,471.61 × 3,344.34
  4. Step 4: Simplify right side
    6,138.84x = 28,331,975.96
  5. Step 5: Solve for x
    x = 28,331,975.96/6,138.84
  6. Step 6: Final answer
    x = 4,615.20

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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.