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Finding the Fourth Proportional to 7,720.29, 10,654.08 and 4,183.58

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Solution

The fourth proportional to 7,720.29, 10,654.08 and 4,183.58 is: 5,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.29 : 10,654.08 = 4,183.58 : x
  2. Step 2: Convert to fraction form
    7,720.29/10,654.08 = 4,183.58/x
  3. Step 3: Cross multiply
    7,720.29x = 10,654.08 × 4,183.58
  4. Step 4: Simplify right side
    7,720.29x = 44,572,196.01
  5. Step 5: Solve for x
    x = 44,572,196.01/7,720.29
  6. Step 6: Final answer
    x = 5,773.38

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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.