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Finding the Fourth Proportional to 6,143.96, 8,478.34 and 3,491

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Solution

The fourth proportional to 6,143.96, 8,478.34 and 3,491 is: 4,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.96 : 8,478.34 = 3,491 : x
  2. Step 2: Convert to fraction form
    6,143.96/8,478.34 = 3,491/x
  3. Step 3: Cross multiply
    6,143.96x = 8,478.34 × 3,491
  4. Step 4: Simplify right side
    6,143.96x = 29,597,884.94
  5. Step 5: Solve for x
    x = 29,597,884.94/6,143.96
  6. Step 6: Final answer
    x = 4,817.40

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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.