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Finding the Fourth Proportional to 7,720.80, 10,654.62 and 4,183.80

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Solution

The fourth proportional to 7,720.80, 10,654.62 and 4,183.80 is: 5,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.80 : 10,654.62 = 4,183.80 : x
  2. Step 2: Convert to fraction form
    7,720.80/10,654.62 = 4,183.80/x
  3. Step 3: Cross multiply
    7,720.80x = 10,654.62 × 4,183.80
  4. Step 4: Simplify right side
    7,720.80x = 44,576,799.16
  5. Step 5: Solve for x
    x = 44,576,799.16/7,720.80
  6. Step 6: Final answer
    x = 5,773.60

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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.