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Finding the Fourth Proportional to 6,420.12, 9,630.30 and 2,959.80

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Solution

The fourth proportional to 6,420.12, 9,630.30 and 2,959.80 is: 4,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.12 : 9,630.30 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    6,420.12/9,630.30 = 2,959.80/x
  3. Step 3: Cross multiply
    6,420.12x = 9,630.30 × 2,959.80
  4. Step 4: Simplify right side
    6,420.12x = 28,503,761.94
  5. Step 5: Solve for x
    x = 28,503,761.94/6,420.12
  6. Step 6: Final answer
    x = 4,439.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.