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Finding the Fourth Proportional to 6,143.94, 8,478.87 and 3,491.46

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Solution

The fourth proportional to 6,143.94, 8,478.87 and 3,491.46 is: 4,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.94 : 8,478.87 = 3,491.46 : x
  2. Step 2: Convert to fraction form
    6,143.94/8,478.87 = 3,491.46/x
  3. Step 3: Cross multiply
    6,143.94x = 8,478.87 × 3,491.46
  4. Step 4: Simplify right side
    6,143.94x = 29,603,635.45
  5. Step 5: Solve for x
    x = 29,603,635.45/6,143.94
  6. Step 6: Final answer
    x = 4,818.35

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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.