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Finding the Fourth Proportional to 6,421.76, 8,860 and 3,769.28

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Solution

The fourth proportional to 6,421.76, 8,860 and 3,769.28 is: 5,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.76 : 8,860 = 3,769.28 : x
  2. Step 2: Convert to fraction form
    6,421.76/8,860 = 3,769.28/x
  3. Step 3: Cross multiply
    6,421.76x = 8,860 × 3,769.28
  4. Step 4: Simplify right side
    6,421.76x = 33,395,820.80
  5. Step 5: Solve for x
    x = 33,395,820.80/6,421.76
  6. Step 6: Final answer
    x = 5,200.42

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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.