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Finding the Fourth Proportional to 3,874.67, 5,814.28 and 1,534.90

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Solution

The fourth proportional to 3,874.67, 5,814.28 and 1,534.90 is: 2,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.67 : 5,814.28 = 1,534.90 : x
  2. Step 2: Convert to fraction form
    3,874.67/5,814.28 = 1,534.90/x
  3. Step 3: Cross multiply
    3,874.67x = 5,814.28 × 1,534.90
  4. Step 4: Simplify right side
    3,874.67x = 8,924,336.66
  5. Step 5: Solve for x
    x = 8,924,336.66/3,874.67
  6. Step 6: Final answer
    x = 2,303.25

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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.