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Finding the Fourth Proportional to 3,144.90, 4,718.70 and 1,605.90

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Solution

The fourth proportional to 3,144.90, 4,718.70 and 1,605.90 is: 2,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.90 : 4,718.70 = 1,605.90 : x
  2. Step 2: Convert to fraction form
    3,144.90/4,718.70 = 1,605.90/x
  3. Step 3: Cross multiply
    3,144.90x = 4,718.70 × 1,605.90
  4. Step 4: Simplify right side
    3,144.90x = 7,577,760.33
  5. Step 5: Solve for x
    x = 7,577,760.33/3,144.90
  6. Step 6: Final answer
    x = 2,409.54

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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.