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Finding the Fourth Proportional to 3,076.43, 4,614.65 and 767.95

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Solution

The fourth proportional to 3,076.43, 4,614.65 and 767.95 is: 1,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.43 : 4,614.65 = 767.95 : x
  2. Step 2: Convert to fraction form
    3,076.43/4,614.65 = 767.95/x
  3. Step 3: Cross multiply
    3,076.43x = 4,614.65 × 767.95
  4. Step 4: Simplify right side
    3,076.43x = 3,543,816.63
  5. Step 5: Solve for x
    x = 3,543,816.63/3,076.43
  6. Step 6: Final answer
    x = 1,151.93

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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.