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Finding the Fourth Proportional to 6,438.39, 9,659.78 and 4,063.71

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Solution

The fourth proportional to 6,438.39, 9,659.78 and 4,063.71 is: 6,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.39 : 9,659.78 = 4,063.71 : x
  2. Step 2: Convert to fraction form
    6,438.39/9,659.78 = 4,063.71/x
  3. Step 3: Cross multiply
    6,438.39x = 9,659.78 × 4,063.71
  4. Step 4: Simplify right side
    6,438.39x = 39,254,526.40
  5. Step 5: Solve for x
    x = 39,254,526.40/6,438.39
  6. Step 6: Final answer
    x = 6,096.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.