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Finding the Fourth Proportional to 9,980.56, 13,772.46 and 6,209.20

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Solution

The fourth proportional to 9,980.56, 13,772.46 and 6,209.20 is: 8,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.56 : 13,772.46 = 6,209.20 : x
  2. Step 2: Convert to fraction form
    9,980.56/13,772.46 = 6,209.20/x
  3. Step 3: Cross multiply
    9,980.56x = 13,772.46 × 6,209.20
  4. Step 4: Simplify right side
    9,980.56x = 85,515,958.63
  5. Step 5: Solve for x
    x = 85,515,958.63/9,980.56
  6. Step 6: Final answer
    x = 8,568.25

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1.5x scale

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.