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Finding the Fourth Proportional to 3,146.36, 4,719.47 and 774.41

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Solution

The fourth proportional to 3,146.36, 4,719.47 and 774.41 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.36 : 4,719.47 = 774.41 : x
  2. Step 2: Convert to fraction form
    3,146.36/4,719.47 = 774.41/x
  3. Step 3: Cross multiply
    3,146.36x = 4,719.47 × 774.41
  4. Step 4: Simplify right side
    3,146.36x = 3,654,777.29
  5. Step 5: Solve for x
    x = 3,654,777.29/3,146.36
  6. Step 6: Final answer
    x = 1,161.59

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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.