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Finding the Fourth Proportional to 6,443.85, 8,896.80 and 4,949.10

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Solution

The fourth proportional to 6,443.85, 8,896.80 and 4,949.10 is: 6,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.85 : 8,896.80 = 4,949.10 : x
  2. Step 2: Convert to fraction form
    6,443.85/8,896.80 = 4,949.10/x
  3. Step 3: Cross multiply
    6,443.85x = 8,896.80 × 4,949.10
  4. Step 4: Simplify right side
    6,443.85x = 44,031,096.02
  5. Step 5: Solve for x
    x = 44,031,096.02/6,443.85
  6. Step 6: Final answer
    x = 6,833.04

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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.