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Finding the Fourth Proportional to 2,093.13, 3,138.93 and 776.57

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Solution

The fourth proportional to 2,093.13, 3,138.93 and 776.57 is: 1,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.13 : 3,138.93 = 776.57 : x
  2. Step 2: Convert to fraction form
    2,093.13/3,138.93 = 776.57/x
  3. Step 3: Cross multiply
    2,093.13x = 3,138.93 × 776.57
  4. Step 4: Simplify right side
    2,093.13x = 2,437,583.18
  5. Step 5: Solve for x
    x = 2,437,583.18/2,093.13
  6. Step 6: Final answer
    x = 1,164.56

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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.