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Finding the Fourth Proportional to 2,481.76, 3,720.66 and 1,605.16

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Solution

The fourth proportional to 2,481.76, 3,720.66 and 1,605.16 is: 2,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.76 : 3,720.66 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    2,481.76/3,720.66 = 1,605.16/x
  3. Step 3: Cross multiply
    2,481.76x = 3,720.66 × 1,605.16
  4. Step 4: Simplify right side
    2,481.76x = 5,972,254.61
  5. Step 5: Solve for x
    x = 5,972,254.61/2,481.76
  6. Step 6: Final answer
    x = 2,406.46

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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.