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Finding the Fourth Proportional to 3,160.80, 4,744.80 and 1,313.28

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Solution

The fourth proportional to 3,160.80, 4,744.80 and 1,313.28 is: 1,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.80 : 4,744.80 = 1,313.28 : x
  2. Step 2: Convert to fraction form
    3,160.80/4,744.80 = 1,313.28/x
  3. Step 3: Cross multiply
    3,160.80x = 4,744.80 × 1,313.28
  4. Step 4: Simplify right side
    3,160.80x = 6,231,250.94
  5. Step 5: Solve for x
    x = 6,231,250.94/3,160.80
  6. Step 6: Final answer
    x = 1,971.42

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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.