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Finding the Fourth Proportional to 6,403.81, 9,568.13 and 6,286.71

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Solution

The fourth proportional to 6,403.81, 9,568.13 and 6,286.71 is: 9,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.81 : 9,568.13 = 6,286.71 : x
  2. Step 2: Convert to fraction form
    6,403.81/9,568.13 = 6,286.71/x
  3. Step 3: Cross multiply
    6,403.81x = 9,568.13 × 6,286.71
  4. Step 4: Simplify right side
    6,403.81x = 60,152,063.00
  5. Step 5: Solve for x
    x = 60,152,063.00/6,403.81
  6. Step 6: Final answer
    x = 9,393.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.