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Finding the Fourth Proportional to 3,153, 4,351.17 and 1,755.78

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Solution

The fourth proportional to 3,153, 4,351.17 and 1,755.78 is: 2,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153 : 4,351.17 = 1,755.78 : x
  2. Step 2: Convert to fraction form
    3,153/4,351.17 = 1,755.78/x
  3. Step 3: Cross multiply
    3,153x = 4,351.17 × 1,755.78
  4. Step 4: Simplify right side
    3,153x = 7,639,697.26
  5. Step 5: Solve for x
    x = 7,639,697.26/3,153
  6. Step 6: Final answer
    x = 2,422.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.