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Finding the Fourth Proportional to 3,921, 5,884.20 and 1,612.50

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Solution

The fourth proportional to 3,921, 5,884.20 and 1,612.50 is: 2,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921 : 5,884.20 = 1,612.50 : x
  2. Step 2: Convert to fraction form
    3,921/5,884.20 = 1,612.50/x
  3. Step 3: Cross multiply
    3,921x = 5,884.20 × 1,612.50
  4. Step 4: Simplify right side
    3,921x = 9,488,272.50
  5. Step 5: Solve for x
    x = 9,488,272.50/3,921
  6. Step 6: Final answer
    x = 2,419.86

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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.