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Finding the Fourth Proportional to 6,484.91, 8,947.74 and 3,830.94

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Solution

The fourth proportional to 6,484.91, 8,947.74 and 3,830.94 is: 5,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.91 : 8,947.74 = 3,830.94 : x
  2. Step 2: Convert to fraction form
    6,484.91/8,947.74 = 3,830.94/x
  3. Step 3: Cross multiply
    6,484.91x = 8,947.74 × 3,830.94
  4. Step 4: Simplify right side
    6,484.91x = 34,278,255.08
  5. Step 5: Solve for x
    x = 34,278,255.08/6,484.91
  6. Step 6: Final answer
    x = 5,285.85

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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.