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Finding the Fourth Proportional to 2,068.37, 3,101.48 and 769.13

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Solution

The fourth proportional to 2,068.37, 3,101.48 and 769.13 is: 1,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.37 : 3,101.48 = 769.13 : x
  2. Step 2: Convert to fraction form
    2,068.37/3,101.48 = 769.13/x
  3. Step 3: Cross multiply
    2,068.37x = 3,101.48 × 769.13
  4. Step 4: Simplify right side
    2,068.37x = 2,385,437.47
  5. Step 5: Solve for x
    x = 2,385,437.47/2,068.37
  6. Step 6: Final answer
    x = 1,153.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.