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Finding the Fourth Proportional to 6,420.44, 9,627.80 and 3,302.20

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Solution

The fourth proportional to 6,420.44, 9,627.80 and 3,302.20 is: 4,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.44 : 9,627.80 = 3,302.20 : x
  2. Step 2: Convert to fraction form
    6,420.44/9,627.80 = 3,302.20/x
  3. Step 3: Cross multiply
    6,420.44x = 9,627.80 × 3,302.20
  4. Step 4: Simplify right side
    6,420.44x = 31,792,921.16
  5. Step 5: Solve for x
    x = 31,792,921.16/6,420.44
  6. Step 6: Final answer
    x = 4,951.83

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1.5x scale

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.