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Finding the Fourth Proportional to 6,420.96, 9,630 and 3,824.64

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Solution

The fourth proportional to 6,420.96, 9,630 and 3,824.64 is: 5,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.96 : 9,630 = 3,824.64 : x
  2. Step 2: Convert to fraction form
    6,420.96/9,630 = 3,824.64/x
  3. Step 3: Cross multiply
    6,420.96x = 9,630 × 3,824.64
  4. Step 4: Simplify right side
    6,420.96x = 36,831,283.20
  5. Step 5: Solve for x
    x = 36,831,283.20/6,420.96
  6. Step 6: Final answer
    x = 5,736.10

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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.