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Finding the Fourth Proportional to 3,069.80, 4,604.70 and 761.30

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Solution

The fourth proportional to 3,069.80, 4,604.70 and 761.30 is: 1,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.80 : 4,604.70 = 761.30 : x
  2. Step 2: Convert to fraction form
    3,069.80/4,604.70 = 761.30/x
  3. Step 3: Cross multiply
    3,069.80x = 4,604.70 × 761.30
  4. Step 4: Simplify right side
    3,069.80x = 3,505,558.11
  5. Step 5: Solve for x
    x = 3,505,558.11/3,069.80
  6. Step 6: Final answer
    x = 1,141.95

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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.