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Finding the Fourth Proportional to 6,378.71, 9,568.46 and 1,698.64

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Solution

The fourth proportional to 6,378.71, 9,568.46 and 1,698.64 is: 2,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.71 : 9,568.46 = 1,698.64 : x
  2. Step 2: Convert to fraction form
    6,378.71/9,568.46 = 1,698.64/x
  3. Step 3: Cross multiply
    6,378.71x = 9,568.46 × 1,698.64
  4. Step 4: Simplify right side
    6,378.71x = 16,253,349.22
  5. Step 5: Solve for x
    x = 16,253,349.22/6,378.71
  6. Step 6: Final answer
    x = 2,548.06

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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.