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Finding the Fourth Proportional to 6,678.87, 9,213.46 and 6,203.96

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Solution

The fourth proportional to 6,678.87, 9,213.46 and 6,203.96 is: 8,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.87 : 9,213.46 = 6,203.96 : x
  2. Step 2: Convert to fraction form
    6,678.87/9,213.46 = 6,203.96/x
  3. Step 3: Cross multiply
    6,678.87x = 9,213.46 × 6,203.96
  4. Step 4: Simplify right side
    6,678.87x = 57,159,937.30
  5. Step 5: Solve for x
    x = 57,159,937.30/6,678.87
  6. Step 6: Final answer
    x = 8,558.32

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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.