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Finding the Fourth Proportional to 3,876.60, 5,814.90 and 2,783.10

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Solution

The fourth proportional to 3,876.60, 5,814.90 and 2,783.10 is: 4,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.60 : 5,814.90 = 2,783.10 : x
  2. Step 2: Convert to fraction form
    3,876.60/5,814.90 = 2,783.10/x
  3. Step 3: Cross multiply
    3,876.60x = 5,814.90 × 2,783.10
  4. Step 4: Simplify right side
    3,876.60x = 16,183,448.19
  5. Step 5: Solve for x
    x = 16,183,448.19/3,876.60
  6. Step 6: Final answer
    x = 4,174.65

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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.