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Finding the Fourth Proportional to 3,742, 5,164.12 and 2,086

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Solution

The fourth proportional to 3,742, 5,164.12 and 2,086 is: 2,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 5,164.12 = 2,086 : x
  2. Step 2: Convert to fraction form
    3,742/5,164.12 = 2,086/x
  3. Step 3: Cross multiply
    3,742x = 5,164.12 × 2,086
  4. Step 4: Simplify right side
    3,742x = 10,772,354.32
  5. Step 5: Solve for x
    x = 10,772,354.32/3,742
  6. Step 6: Final answer
    x = 2,878.77

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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.