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Finding the Fourth Proportional to 3,119.55, 4,677 and 1,364.22

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Solution

The fourth proportional to 3,119.55, 4,677 and 1,364.22 is: 2,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.55 : 4,677 = 1,364.22 : x
  2. Step 2: Convert to fraction form
    3,119.55/4,677 = 1,364.22/x
  3. Step 3: Cross multiply
    3,119.55x = 4,677 × 1,364.22
  4. Step 4: Simplify right side
    3,119.55x = 6,380,456.94
  5. Step 5: Solve for x
    x = 6,380,456.94/3,119.55
  6. Step 6: Final answer
    x = 2,045.31

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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.