Home / 2,743.16-4,114.76-768.78

Finding the Fourth Proportional to 2,743.16, 4,114.76 and 768.78

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Solution

The fourth proportional to 2,743.16, 4,114.76 and 768.78 is: 1,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.16 : 4,114.76 = 768.78 : x
  2. Step 2: Convert to fraction form
    2,743.16/4,114.76 = 768.78/x
  3. Step 3: Cross multiply
    2,743.16x = 4,114.76 × 768.78
  4. Step 4: Simplify right side
    2,743.16x = 3,163,341.35
  5. Step 5: Solve for x
    x = 3,163,341.35/2,743.16
  6. Step 6: Final answer
    x = 1,153.18

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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.