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Finding the Fourth Proportional to 6,284.71, 8,672.93 and 3,928.20

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Solution

The fourth proportional to 6,284.71, 8,672.93 and 3,928.20 is: 5,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.71 : 8,672.93 = 3,928.20 : x
  2. Step 2: Convert to fraction form
    6,284.71/8,672.93 = 3,928.20/x
  3. Step 3: Cross multiply
    6,284.71x = 8,672.93 × 3,928.20
  4. Step 4: Simplify right side
    6,284.71x = 34,068,940.62
  5. Step 5: Solve for x
    x = 34,068,940.62/6,284.71
  6. Step 6: Final answer
    x = 5,420.92

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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.