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Finding the Fourth Proportional to 5,671.72, 7,824.78 and 4,183.18

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Solution

The fourth proportional to 5,671.72, 7,824.78 and 4,183.18 is: 5,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.72 : 7,824.78 = 4,183.18 : x
  2. Step 2: Convert to fraction form
    5,671.72/7,824.78 = 4,183.18/x
  3. Step 3: Cross multiply
    5,671.72x = 7,824.78 × 4,183.18
  4. Step 4: Simplify right side
    5,671.72x = 32,732,463.20
  5. Step 5: Solve for x
    x = 32,732,463.20/5,671.72
  6. Step 6: Final answer
    x = 5,771.17

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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.