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Finding the Fourth Proportional to 6,438.74, 8,874.90 and 4,313.54

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Solution

The fourth proportional to 6,438.74, 8,874.90 and 4,313.54 is: 5,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.74 : 8,874.90 = 4,313.54 : x
  2. Step 2: Convert to fraction form
    6,438.74/8,874.90 = 4,313.54/x
  3. Step 3: Cross multiply
    6,438.74x = 8,874.90 × 4,313.54
  4. Step 4: Simplify right side
    6,438.74x = 38,282,236.15
  5. Step 5: Solve for x
    x = 38,282,236.15/6,438.74
  6. Step 6: Final answer
    x = 5,945.61

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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.