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Finding the Fourth Proportional to 6,450.30, 8,909.82 and 4,976.46

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Solution

The fourth proportional to 6,450.30, 8,909.82 and 4,976.46 is: 6,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.30 : 8,909.82 = 4,976.46 : x
  2. Step 2: Convert to fraction form
    6,450.30/8,909.82 = 4,976.46/x
  3. Step 3: Cross multiply
    6,450.30x = 8,909.82 × 4,976.46
  4. Step 4: Simplify right side
    6,450.30x = 44,339,362.84
  5. Step 5: Solve for x
    x = 44,339,362.84/6,450.30
  6. Step 6: Final answer
    x = 6,874.00

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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.