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Finding the Fourth Proportional to 3,814, 5,263.40 and 2,158

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Solution

The fourth proportional to 3,814, 5,263.40 and 2,158 is: 2,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814 : 5,263.40 = 2,158 : x
  2. Step 2: Convert to fraction form
    3,814/5,263.40 = 2,158/x
  3. Step 3: Cross multiply
    3,814x = 5,263.40 × 2,158
  4. Step 4: Simplify right side
    3,814x = 11,358,417.20
  5. Step 5: Solve for x
    x = 11,358,417.20/3,814
  6. Step 6: Final answer
    x = 2,978.09

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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.