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Finding the Fourth Proportional to 4,128.32, 6,182.72 and 3,256.80

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Solution

The fourth proportional to 4,128.32, 6,182.72 and 3,256.80 is: 4,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.32 : 6,182.72 = 3,256.80 : x
  2. Step 2: Convert to fraction form
    4,128.32/6,182.72 = 3,256.80/x
  3. Step 3: Cross multiply
    4,128.32x = 6,182.72 × 3,256.80
  4. Step 4: Simplify right side
    4,128.32x = 20,135,882.50
  5. Step 5: Solve for x
    x = 20,135,882.50/4,128.32
  6. Step 6: Final answer
    x = 4,877.50

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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.