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Finding the Fourth Proportional to 3,114.97, 4,672.31 and 774.91

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Solution

The fourth proportional to 3,114.97, 4,672.31 and 774.91 is: 1,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.97 : 4,672.31 = 774.91 : x
  2. Step 2: Convert to fraction form
    3,114.97/4,672.31 = 774.91/x
  3. Step 3: Cross multiply
    3,114.97x = 4,672.31 × 774.91
  4. Step 4: Simplify right side
    3,114.97x = 3,620,619.74
  5. Step 5: Solve for x
    x = 3,620,619.74/3,114.97
  6. Step 6: Final answer
    x = 1,162.33

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1.5x scale

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.