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Finding the Fourth Proportional to 6,073, 8,380.80 and 3,420.28

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Solution

The fourth proportional to 6,073, 8,380.80 and 3,420.28 is: 4,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073 : 8,380.80 = 3,420.28 : x
  2. Step 2: Convert to fraction form
    6,073/8,380.80 = 3,420.28/x
  3. Step 3: Cross multiply
    6,073x = 8,380.80 × 3,420.28
  4. Step 4: Simplify right side
    6,073x = 28,664,682.62
  5. Step 5: Solve for x
    x = 28,664,682.62/6,073
  6. Step 6: Final answer
    x = 4,720.02

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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.